57294835920 has 960 divisors, whose sum is σ = 245384294400. Its totient is φ = 12001167360.

The previous prime is 57294835907. The next prime is 57294835931. The reversal of 57294835920 is 2953849275.

57294835920 is a `hidden beast` number, since 5 + 7 + 2 + 9 + 48 + 3 + 592 + 0 = 666.

It is a super-4 number, since 4×57294835920⁴ (a number of 44 digits) contains 4444 as substring.

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 191 ways as a sum of consecutive naturals, for example, 806969485 + ... + 806969555.

It is an arithmetic number, because the mean of its divisors is an integer number (255608640).

Almost surely, 2^57294835920 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 57294835920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122692147200).

57294835920 is an abundant number, since it is smaller than the sum of its proper divisors (188089458480).

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

57294835920 is a wasteful number, since it uses less digits than its factorization.

57294835920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 57294835920 in words is "fifty-seven billion, two hundred ninety-four million, eight hundred thirty-five thousand, nine hundred twenty".