553131242400 has 288 divisors, whose sum is σ = 1966138284096. Its totient is φ = 133954560000.

The previous prime is 553131242399. The next prime is 553131242401. The reversal of 553131242400 is 4242131355.

It is an interprime number because it is at equal distance from previous prime (553131242399) and next prime (553131242401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (553131242401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26944140 + ... + 26964660.

It is an arithmetic number, because the mean of its divisors is an integer number (6826869042).

Almost surely, 2^553131242400 is an apocalyptic number.

553131242400 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 553131242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983069142048).

553131242400 is an abundant number, since it is smaller than the sum of its proper divisors (1413007041696).

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

553131242400 is a wasteful number, since it uses less digits than its factorization.

553131242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21576 (or 21563 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 553131242400 its reverse (4242131355), we get a palindrome (557373373755).

The spelling of 553131242400 in words is "five hundred fifty-three billion, one hundred thirty-one million, two hundred forty-two thousand, four hundred".