1957974145920 has 2560 divisors, whose sum is σ = 8509463424000. Its totient is φ = 424248606720.

The previous prime is 1957974145871. The next prime is 1957974145921. The reversal of 1957974145920 is 295414797591.

1957974145920 is a `hidden beast` number, since 1 + 9 + 57 + 97 + 41 + 459 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1957974145921) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13140766006 + ... + 13140766154.

It is an arithmetic number, because the mean of its divisors is an integer number (3324009150).

Almost surely, 2^{1957974145920} is an apocalyptic number.

1957974145920 is a gapful number since it is divisible by the number (10) 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 1957974145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254731712000).

1957974145920 is an abundant number, since it is smaller than the sum of its proper divisors (6551489278080).

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

1957974145920 is a wasteful number, since it uses less digits than its factorization.

1957974145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 1957974145920 in words is "one trillion, nine hundred fifty-seven billion, nine hundred seventy-four million, one hundred forty-five thousand, nine hundred twenty".