57034526976 has 288 divisors, whose sum is σ = 193133472000. Its totient is φ = 16263659520.

The previous prime is 57034526947. The next prime is 57034526993. The reversal of 57034526976 is 67962543075.

57034526976 is a `hidden beast` number, since 570 + 3 + 4 + 5 + 2 + 69 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36819450 + ... + 36820998.

Almost surely, 2^57034526976 is an apocalyptic number.

57034526976 is a gapful number since it is divisible by the number (56) 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 57034526976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96566736000).

57034526976 is an abundant number, since it is smaller than the sum of its proper divisors (136098945024).

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

57034526976 is a wasteful number, since it uses less digits than its factorization.

57034526976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 57034526976 in words is "fifty-seven billion, thirty-four million, five hundred twenty-six thousand, nine hundred seventy-six".