53156476800 has 480 divisors, whose sum is σ = 224189467920. Its totient is φ = 12149637120.

The previous prime is 53156476799. The next prime is 53156476819. The reversal of 53156476800 is 867465135.

53156476800 is a `hidden beast` number, since 5 + 3 + 1 + 564 + 7 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×53156476800² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1799752 + ... + 1829048.

Almost surely, 2^53156476800 is an apocalyptic number.

53156476800 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 53156476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112094733960).

53156476800 is an abundant number, since it is smaller than the sum of its proper divisors (171032991120).

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

53156476800 is a wasteful number, since it uses less digits than its factorization.

53156476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29340 (or 29314 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 53156476800 in words is "fifty-three billion, one hundred fifty-six million, four hundred seventy-six thousand, eight hundred".