1957712862144 has 336 divisors, whose sum is σ = 5977373985792. Its totient is φ = 563913732096.

The previous prime is 1957712862113. The next prime is 1957712862179. The reversal of 1957712862144 is 4412682177591.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35048382 + ... + 35104194.

Almost surely, 2^{1957712862144} 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 1957712862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988686992896).

1957712862144 is an abundant number, since it is smaller than the sum of its proper divisors (4019661123648).

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

1957712862144 is a wasteful number, since it uses less digits than its factorization.

1957712862144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55924 (or 55901 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 57.

The spelling of 1957712862144 in words is "one trillion, nine hundred fifty-seven billion, seven hundred twelve million, eight hundred sixty-two thousand, one hundred forty-four".