215953081344000 has 9408 divisors, whose sum is σ = 1152592623366912. Its totient is φ = 38985007104000.

The previous prime is 215953081343897. The next prime is 215953081344023. The reversal of 215953081344000 is 443180359512.

215953081344000 is a `hidden beast` number, since 2 + 1 + 5 + 9 + 530 + 81 + 34 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 671 ways as a sum of consecutive naturals, for example, 12703122431992 + ... + 12703122432008.

Almost surely, 2^{215953081344000} is an apocalyptic number.

215953081344000 is a gapful number since it is divisible by the number (20) 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 215953081344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576296311683456).

215953081344000 is an abundant number, since it is smaller than the sum of its proper divisors (936639542022912).

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

215953081344000 is an equidigital number, since it uses as much as digits as its factorization.

215953081344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 215953081344000 in words is "two hundred fifteen trillion, nine hundred fifty-three billion, eighty-one million, three hundred forty-four thousand".