215516812492800 has 8100 divisors, whose sum is σ = 1104824237452320. Its totient is φ = 40544407388160.

The previous prime is 215516812492771. The next prime is 215516812492811. The reversal of 215516812492800 is 8294218615512.

It is a happy number.

215516812492800 is a `hidden beast` number, since 2 + 1 + 5 + 5 + 1 + 68 + 12 + 492 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8100).

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 539 ways as a sum of consecutive naturals, for example, 11342990131191 + ... + 11342990131209.

Almost surely, 2^{215516812492800} is an apocalyptic number.

215516812492800 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 215516812492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552412118726160).

215516812492800 is an abundant number, since it is smaller than the sum of its proper divisors (889307424959520).

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

215516812492800 is a wasteful number, since it uses less digits than its factorization.

215516812492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 215516812492800 in words is "two hundred fifteen trillion, five hundred sixteen billion, eight hundred twelve million, four hundred ninety-two thousand, eight hundred".