957947904000 has 1088 divisors, whose sum is σ = 3651029890560. Its totient is φ = 247726080000.

The previous prime is 957947903993. The next prime is 957947904059. The reversal of 957947904000 is 409749759.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13492223965 + ... + 13492224035.

Almost surely, 2^957947904000 is an apocalyptic number.

957947904000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 957947904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825514945280).

957947904000 is an abundant number, since it is smaller than the sum of its proper divisors (2693081986560).

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

957947904000 is an frugal number, since it uses more digits than its factorization.

957947904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 957947904000 in words is "nine hundred fifty-seven billion, nine hundred forty-seven million, nine hundred four thousand".