57533488920 has 512 divisors, whose sum is σ = 209205504000. Its totient is φ = 14023342080.

The previous prime is 57533488913. The next prime is 57533488937. The reversal of 57533488920 is 2988433575.

57533488920 is a `hidden beast` number, since 5 + 7 + 533 + 4 + 8 + 89 + 20 = 666.

57533488920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54225190 + ... + 54226250.

It is an arithmetic number, because the mean of its divisors is an integer number (408604500).

Almost surely, 2^57533488920 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 57533488920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104602752000).

57533488920 is an abundant number, since it is smaller than the sum of its proper divisors (151672015080).

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

57533488920 is a wasteful number, since it uses less digits than its factorization.

57533488920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 57533488920 in words is "fifty-seven billion, five hundred thirty-three million, four hundred eighty-eight thousand, nine hundred twenty".