1957970916345 has 32 divisors (see below), whose sum is σ = 3339295113600. Its totient is φ = 976228459520.

The previous prime is 1957970916337. The next prime is 1957970916373. The reversal of 1957970916345 is 5436190797591.

It is not a de Polignac number, because 1957970916345 - 2³ = 1957970916337 is a prime.

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, 25728171 + ... + 25804160.

It is an arithmetic number, because the mean of its divisors is an integer number (104352972300).

Almost surely, 2^{1957970916345} is an apocalyptic number.

1957970916345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1957970916345 is a deficient number, since it is larger than the sum of its proper divisors (1381324197255).

1957970916345 is a wasteful number, since it uses less digits than its factorization.

1957970916345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51532505.

The product of its (nonzero) digits is 64297800, while the sum is 66.

The spelling of 1957970916345 in words is "one trillion, nine hundred fifty-seven billion, nine hundred seventy million, nine hundred sixteen thousand, three hundred forty-five".