1957077593016 has 256 divisors, whose sum is σ = 6057432514560. Its totient is φ = 513102159360.

The previous prime is 1957077592997. The next prime is 1957077593021. The reversal of 1957077593016 is 6103957707591.

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 63 ways as a sum of consecutive naturals, for example, 500913735 + ... + 500917641.

It is an arithmetic number, because the mean of its divisors is an integer number (23661845760).

Almost surely, 2^{1957077593016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1957077593016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028716257280).

1957077593016 is an abundant number, since it is smaller than the sum of its proper divisors (4100354921544).

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

1957077593016 is a wasteful number, since it uses less digits than its factorization.

1957077593016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5234 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 12502350, while the sum is 60.

The spelling of 1957077593016 in words is "one trillion, nine hundred fifty-seven billion, seventy-seven million, five hundred ninety-three thousand, sixteen".