958788096268992 has 224 divisors, whose sum is σ = 2793355627603200. Its totient is φ = 287819072409600.

The previous prime is 958788096268973. The next prime is 958788096269023. The reversal of 958788096268992 is 299862690887859.

It is a super-2 number, since 2×958788096268992² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (96).

It is a self number, because there is not a number n which added to its sum of digits gives 958788096268992.

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 31 ways as a sum of consecutive naturals, for example, 1164210642 + ... + 1165033902.

Almost surely, 2^{958788096268992} 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 958788096268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396677813801600).

958788096268992 is an abundant number, since it is smaller than the sum of its proper divisors (1834567531334208).

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

958788096268992 is a wasteful number, since it uses less digits than its factorization.

958788096268992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828455 (or 828445 counting only the distinct ones).

The product of its (nonzero) digits is 135444234240, while the sum is 96.

The spelling of 958788096268992 in words is "nine hundred fifty-eight trillion, seven hundred eighty-eight billion, ninety-six million, two hundred sixty-eight thousand, nine hundred ninety-two".