57095356032 has 512 divisors, whose sum is σ = 206619033600. Its totient is φ = 15273308160.

The previous prime is 57095356013. The next prime is 57095356037. The reversal of 57095356032 is 23065359075.

It is a happy number.

57095356032 is a `hidden beast` number, since 5 + 7 + 0 + 9 + 5 + 35 + 603 + 2 = 666.

57095356032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57095356037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11364273 + ... + 11369295.

It is an arithmetic number, because the mean of its divisors is an integer number (403552800).

Almost surely, 2^57095356032 is an apocalyptic number.

57095356032 is a gapful number since it is divisible by the number (52) 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 57095356032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103309516800).

57095356032 is an abundant number, since it is smaller than the sum of its proper divisors (149523677568).

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

57095356032 is a wasteful number, since it uses less digits than its factorization.

57095356032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 57095356032 in words is "fifty-seven billion, ninety-five million, three hundred fifty-six thousand, thirty-two".