957701961216 has 960 divisors, whose sum is σ = 3874612008960. Its totient is φ = 229595627520.

The previous prime is 957701961199. The next prime is 957701961257. The reversal of 957701961216 is 612169107759.

957701961216 is a `hidden beast` number, since 9 + 5 + 7 + 7 + 0 + 1 + 9 + 612 + 16 = 666.

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 95 ways as a sum of consecutive naturals, for example, 96859825 + ... + 96869711.

It is an arithmetic number, because the mean of its divisors is an integer number (4036054176).

Almost surely, 2^957701961216 is an apocalyptic number.

957701961216 is a gapful number since it is divisible by the number (96) 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 957701961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937306004480).

957701961216 is an abundant number, since it is smaller than the sum of its proper divisors (2916910047744).

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

957701961216 is a wasteful number, since it uses less digits than its factorization.

957701961216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9952 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 957701961216 in words is "nine hundred fifty-seven billion, seven hundred one million, nine hundred sixty-one thousand, two hundred sixteen".