216003870720 has 1024 divisors, whose sum is σ = 878777164800. Its totient is φ = 49828331520.

The previous prime is 216003870713. The next prime is 216003870737. The reversal of 216003870720 is 27078300612.

216003870720 is a `hidden beast` number, since 21 + 600 + 3 + 8 + 7 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 63 ways as a sum of consecutive naturals, for example, 1119190944 + ... + 1119191136.

It is an arithmetic number, because the mean of its divisors is an integer number (858180825).

Almost surely, 2^216003870720 is an apocalyptic number.

216003870720 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 216003870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439388582400).

216003870720 is an abundant number, since it is smaller than the sum of its proper divisors (662773294080).

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

216003870720 is a wasteful number, since it uses less digits than its factorization.

216003870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 216003870720 in words is "two hundred sixteen billion, three million, eight hundred seventy thousand, seven hundred twenty".