57961980000 has 600 divisors, whose sum is σ = 218995861392. Its totient is φ = 15023232000.

The previous prime is 57961979923. The next prime is 57961980049. The reversal of 57961980000 is 8916975.

57961980000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×57961980000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 59939517 + ... + 59940483.

Almost surely, 2^57961980000 is an apocalyptic number.

57961980000 is a gapful number since it is divisible by the number (50) 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 57961980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109497930696).

57961980000 is an abundant number, since it is smaller than the sum of its proper divisors (161033881392).

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

57961980000 is an equidigital number, since it uses as much as digits as its factorization.

57961980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 57961980000 in words is "fifty-seven billion, nine hundred sixty-one million, nine hundred eighty thousand".