57533996520 has 1024 divisors, whose sum is σ = 271143936000. Its totient is φ = 10450944000.

The previous prime is 57533996491. The next prime is 57533996551. The reversal of 57533996520 is 2569933575.

57533996520 is a `hidden beast` number, since 57 + 533 + 9 + 9 + 6 + 52 + 0 = 666.

It is a super-2 number, since 2×57533996520² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 20539120 + ... + 20541920.

It is an arithmetic number, because the mean of its divisors is an integer number (264789000).

Almost surely, 2^57533996520 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 57533996520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135571968000).

57533996520 is an abundant number, since it is smaller than the sum of its proper divisors (213609939480).

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

57533996520 is a wasteful number, since it uses less digits than its factorization.

57533996520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 7654500, while the sum is 54.

The spelling of 57533996520 in words is "fifty-seven billion, five hundred thirty-three million, nine hundred ninety-six thousand, five hundred twenty".