215506055046600 has 288 divisors, whose sum is σ = 724247155632000. Its totient is φ = 57428120171520.

The previous prime is 215506055046553. The next prime is 215506055046617. The reversal of 215506055046600 is 6640550605512.

215506055046600 is a `hidden beast` number, since 2 + 1 + 5 + 50 + 6 + 0 + 550 + 46 + 6 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21531222396 + ... + 21531232404.

Almost surely, 2^{215506055046600} is an apocalyptic number.

215506055046600 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 215506055046600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362123577816000).

215506055046600 is an abundant number, since it is smaller than the sum of its proper divisors (508741100585400).

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

215506055046600 is a wasteful number, since it uses less digits than its factorization.

215506055046600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17197 (or 17185 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 215506055046600 in words is "two hundred fifteen trillion, five hundred six billion, fifty-five million, forty-six thousand, six hundred".