553263782400 has 1440 divisors, whose sum is σ = 2428891058880. Its totient is φ = 122903101440.

The previous prime is 553263782347. The next prime is 553263782411. The reversal of 553263782400 is 4287362355.

553263782400 is a `hidden beast` number, since 5 + 5 + 3 + 2 + 637 + 8 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×553263782400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 626572359 + ... + 626573241.

It is an arithmetic number, because the mean of its divisors is an integer number (1686729902).

Almost surely, 2^553263782400 is an apocalyptic number.

553263782400 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 553263782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214445529440).

553263782400 is an abundant number, since it is smaller than the sum of its proper divisors (1875627276480).

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

553263782400 is a wasteful number, since it uses less digits than its factorization.

553263782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 553263782400 in words is "five hundred fifty-three billion, two hundred sixty-three million, seven hundred eighty-two thousand, four hundred".