215013960000000 has 3840 divisors, whose sum is σ = 983995605964800. Its totient is φ = 46061568000000.

The previous prime is 215013959999981. The next prime is 215013960000083. The reversal of 215013960000000 is 69310512.

215013960000000 is a `hidden beast` number, since 2 + 1 + 50 + 1 + 3 + 9 + 600 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 899639999881 + ... + 899640000119.

It is an arithmetic number, because the mean of its divisors is an integer number (256248855720).

Almost surely, 2^{215013960000000} is an apocalyptic number.

215013960000000 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 215013960000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491997802982400).

215013960000000 is an abundant number, since it is smaller than the sum of its proper divisors (768981645964800).

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

215013960000000 is an frugal number, since it uses more digits than its factorization.

215013960000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 215013960000000 in words is "two hundred fifteen trillion, thirteen billion, nine hundred sixty million", and thus it is an aban number.