57980596960 has 384 divisors, whose sum is σ = 168991764480. Its totient is φ = 18497740800.

The previous prime is 57980596819. The next prime is 57980596963. The reversal of 57980596960 is 6969508975.

It is a happy number.

It is a super-2 number, since 2×57980596960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57980596892 and 57980596901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57980596963) 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, 125771130 + ... + 125771590.

It is an arithmetic number, because the mean of its divisors is an integer number (440082720).

Almost surely, 2^57980596960 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 57980596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84495882240).

57980596960 is an abundant number, since it is smaller than the sum of its proper divisors (111011167520).

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

57980596960 is a wasteful number, since it uses less digits than its factorization.

57980596960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 64.

It can be divided in two parts, 57980 and 596960, that added together give a triangular number (654940 = T₁₁₄₄).

The spelling of 57980596960 in words is "fifty-seven billion, nine hundred eighty million, five hundred ninety-six thousand, nine hundred sixty".