216708710400 has 2304 divisors, whose sum is σ = 1064875593600. Its totient is φ = 40768634880.

The previous prime is 216708710371. The next prime is 216708710411. The reversal of 216708710400 is 4017807612.

216708710400 is a `hidden beast` number, since 2 + 167 + 0 + 87 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 143 ways as a sum of consecutive naturals, for example, 11405721591 + ... + 11405721609.

Almost surely, 2^216708710400 is an apocalyptic number.

216708710400 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 216708710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532437796800).

216708710400 is an abundant number, since it is smaller than the sum of its proper divisors (848166883200).

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

216708710400 is a wasteful number, since it uses less digits than its factorization.

216708710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 216708710400 in words is "two hundred sixteen billion, seven hundred eight million, seven hundred ten thousand, four hundred".