215011468800 has 720 divisors, whose sum is σ = 792249091920. Its totient is φ = 55667589120.

The previous prime is 215011468799. The next prime is 215011468817. The reversal of 215011468800 is 8864110512.

215011468800 is a `hidden beast` number, since 2 + 1 + 501 + 14 + 68 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 686937444 + ... + 686937756.

It is an arithmetic number, because the mean of its divisors is an integer number (1100345961).

Almost surely, 2^215011468800 is an apocalyptic number.

215011468800 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 215011468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396124545960).

215011468800 is an abundant number, since it is smaller than the sum of its proper divisors (577237623120).

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

215011468800 is a wasteful number, since it uses less digits than its factorization.

215011468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 215011468800 in words is "two hundred fifteen billion, eleven million, four hundred sixty-eight thousand, eight hundred".