1957191120 has 80 divisors (see below), whose sum is σ = 6741443520. Its totient is φ = 521917056.

The previous prime is 1957191077. The next prime is 1957191143. The reversal of 1957191120 is 211917591.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450894 + ... + 455213.

It is an arithmetic number, because the mean of its divisors is an integer number (84268044).

Almost surely, 2^1957191120 is an apocalyptic number.

1957191120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1957191120 is an abundant number, since it is smaller than the sum of its proper divisors (4784252400).

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

1957191120 is a wasteful number, since it uses less digits than its factorization.

1957191120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906129 (or 906117 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 36.

The square root of 1957191120 is about 44240.1528026294. The cubic root of 1957191120 is about 1250.8668376683.

The spelling of 1957191120 in words is "one billion, nine hundred fifty-seven million, one hundred ninety-one thousand, one hundred twenty".