1957389201264 has 160 divisors (see below), whose sum is σ = 5807128320000. Its totient is φ = 556531218432.

The previous prime is 1957389201223. The next prime is 1957389201293. The reversal of 1957389201264 is 4621029837591.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129201562 + ... + 129216710.

It is an arithmetic number, because the mean of its divisors is an integer number (36294552000).

It is a 1-persistent number, because it is pandigital, but 2⋅1957389201264 = 3914778402528 is not.

Almost surely, 2^{1957389201264} is an apocalyptic number.

1957389201264 is a gapful number since it is divisible by the number (14) 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 1957389201264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903564160000).

1957389201264 is an abundant number, since it is smaller than the sum of its proper divisors (3849739118736).

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

1957389201264 is a wasteful number, since it uses less digits than its factorization.

1957389201264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17015 (or 17009 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 1957389201264 in words is "one trillion, nine hundred fifty-seven billion, three hundred eighty-nine million, two hundred one thousand, two hundred sixty-four".