57553852993920 has 512 divisors, whose sum is σ = 210948820992000. Its totient is φ = 14812601868288.

The previous prime is 57553852993913. The next prime is 57553852993993. The reversal of 57553852993920 is 2939925835575.

57553852993920 is a `hidden beast` number, since 5 + 7 + 5 + 5 + 3 + 8 + 529 + 9 + 3 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1346488069 + ... + 1346530811.

It is an arithmetic number, because the mean of its divisors is an integer number (412009416000).

Almost surely, 2^{57553852993920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57553852993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105474410496000).

57553852993920 is an abundant number, since it is smaller than the sum of its proper divisors (153394967998080).

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

57553852993920 is a wasteful number, since it uses less digits than its factorization.

57553852993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45487 (or 45469 counting only the distinct ones).

The product of its (nonzero) digits is 918540000, while the sum is 72.

The spelling of 57553852993920 in words is "fifty-seven trillion, five hundred fifty-three billion, eight hundred fifty-two million, nine hundred ninety-three thousand, nine hundred twenty".