956973588480000 has 5440 divisors, whose sum is σ = 4496131071505920. Its totient is φ = 195689447424000.

The previous prime is 956973588479863. The next prime is 956973588480011. The reversal of 956973588480000 is 84885379659.

956973588480000 is a `hidden beast` number, since 9 + 5 + 6 + 97 + 3 + 58 + 8 + 480 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3723632639872 + ... + 3723632640128.

Almost surely, 2^{956973588480000} is an apocalyptic number.

956973588480000 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 956973588480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248065535752960).

956973588480000 is an abundant number, since it is smaller than the sum of its proper divisors (3539157483025920).

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

956973588480000 is an equidigital number, since it uses as much as digits as its factorization.

956973588480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 956973588480000 in words is "nine hundred fifty-six trillion, nine hundred seventy-three billion, five hundred eighty-eight million, four hundred eighty thousand".