215241868800 has 1080 divisors, whose sum is σ = 949185058536. Its totient is φ = 46283489280.

The previous prime is 215241868781. The next prime is 215241868813. The reversal of 215241868800 is 8868142512.

215241868800 is a `hidden beast` number, since 2 + 152 + 418 + 6 + 8 + 80 + 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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 95960479 + ... + 95962721.

Almost surely, 2^215241868800 is an apocalyptic number.

215241868800 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 215241868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474592529268).

215241868800 is an abundant number, since it is smaller than the sum of its proper divisors (733943189736).

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

215241868800 is a wasteful number, since it uses less digits than its factorization.

215241868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 215241868800 in words is "two hundred fifteen billion, two hundred forty-one million, eight hundred sixty-eight thousand, eight hundred".