216021888000 has 1056 divisors, whose sum is σ = 841687621632. Its totient is φ = 53121024000.

The previous prime is 216021887957. The next prime is 216021888029. The reversal of 216021888000 is 888120612.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 821375869 + ... + 821376131.

It is an arithmetic number, because the mean of its divisors is an integer number (797052672).

Almost surely, 2^216021888000 is an apocalyptic number.

216021888000 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 216021888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420843810816).

216021888000 is an abundant number, since it is smaller than the sum of its proper divisors (625665733632).

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

216021888000 is a wasteful number, since it uses less digits than its factorization.

216021888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 216021888000 in words is "two hundred sixteen billion, twenty-one million, eight hundred eighty-eight thousand".