1957251371768 has 64 divisors (see below), whose sum is σ = 4576586469120. Its totient is φ = 762366528000.

The previous prime is 1957251371749. The next prime is 1957251371857. The reversal of 1957251371768 is 8671731527591.

It is a self number, because there is not a number n which added to its sum of digits gives 1957251371768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1959680 + ... + 2784752.

It is an arithmetic number, because the mean of its divisors is an integer number (71509163580).

Almost surely, 2^{1957251371768} is an apocalyptic number.

It is an amenable number.

1957251371768 is an abundant number, since it is smaller than the sum of its proper divisors (2619335097352).

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

1957251371768 is a wasteful number, since it uses less digits than its factorization.

1957251371768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828948 (or 828944 counting only the distinct ones).

The product of its digits is 22226400, while the sum is 62.

The spelling of 1957251371768 in words is "one trillion, nine hundred fifty-seven billion, two hundred fifty-one million, three hundred seventy-one thousand, seven hundred sixty-eight".