57567355020 has 576 divisors, whose sum is σ = 216120360960. Its totient is φ = 12674382336.

The previous prime is 57567354967. The next prime is 57567355031. The reversal of 57567355020 is 2055376575.

57567355020 is a `hidden beast` number, since 5 + 7 + 5 + 6 + 73 + 550 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124335309 + ... + 124335771.

It is an arithmetic number, because the mean of its divisors is an integer number (375208960).

Almost surely, 2^57567355020 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 57567355020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108060180480).

57567355020 is an abundant number, since it is smaller than the sum of its proper divisors (158553005940).

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

57567355020 is a wasteful number, since it uses less digits than its factorization.

57567355020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 57567355020 in words is "fifty-seven billion, five hundred sixty-seven million, three hundred fifty-five thousand, twenty".