53057708776800 has 3456 divisors, whose sum is σ = 245684275200000. Its totient is φ = 10693870387200.

The previous prime is 53057708776771. The next prime is 53057708776829. The reversal of 53057708776800 is 867780775035.

53057708776800 is a `hidden beast` number, since 53 + 0 + 577 + 0 + 8 + 7 + 7 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53057708776771) and next prime (53057708776829).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 88577142901 + ... + 88577143499.

It is an arithmetic number, because the mean of its divisors is an integer number (71089200000).

Almost surely, 2^{53057708776800} is an apocalyptic number.

53057708776800 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 53057708776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122842137600000).

53057708776800 is an abundant number, since it is smaller than the sum of its proper divisors (192626566423200).

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

53057708776800 is a wasteful number, since it uses less digits than its factorization.

53057708776800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 53057708776800 in words is "fifty-three trillion, fifty-seven billion, seven hundred eight million, seven hundred seventy-six thousand, eight hundred".