1957351369968 has 100 divisors (see below), whose sum is σ = 5665565014560. Its totient is φ = 652401824256.

The previous prime is 1957351369933. The next prime is 1957351369973. The reversal of 1957351369968 is 8699631537591.

1957351369968 is a `hidden beast` number, since 1 + 95 + 73 + 51 + 369 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1957351369896 and 1957351369905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20128921 + ... + 20225927.

Almost surely, 2^{1957351369968} is an apocalyptic number.

1957351369968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1957351369968 is an abundant number, since it is smaller than the sum of its proper divisors (3708213644592).

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

1957351369968 is a wasteful number, since it uses less digits than its factorization.

1957351369968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112596 (or 112581 counting only the distinct ones).

The product of its digits is 330674400, while the sum is 72.

The spelling of 1957351369968 in words is "one trillion, nine hundred fifty-seven billion, three hundred fifty-one million, three hundred sixty-nine thousand, nine hundred sixty-eight".