553051040315400 has 576 divisors, whose sum is σ = 2145483560263680. Its totient is φ = 126179350732800.

The previous prime is 553051040315399. The next prime is 553051040315401. The reversal of 553051040315400 is 4513040150355.

553051040315400 is a `hidden beast` number, since 5 + 5 + 3 + 0 + 5 + 104 + 0 + 3 + 1 + 540 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (553051040315399) and next prime (553051040315401).

It is a super-2 number, since 2×553051040315400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (553051040315401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8373565177 + ... + 8373631223.

It is an arithmetic number, because the mean of its divisors is an integer number (3724797847680).

Almost surely, 2^{553051040315400} is an apocalyptic number.

553051040315400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553051040315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072741780131840).

553051040315400 is an abundant number, since it is smaller than the sum of its proper divisors (1592432519948280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

553051040315400 is a wasteful number, since it uses less digits than its factorization.

553051040315400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90974 (or 90962 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 553051040315400 its reverse (4513040150355), we get a palindrome (557564080465755).

The spelling of 553051040315400 in words is "five hundred fifty-three trillion, fifty-one billion, forty million, three hundred fifteen thousand, four hundred".