216930233520 has 1920 divisors, whose sum is σ = 1031873955840. Its totient is φ = 39388446720.

The previous prime is 216930233479. The next prime is 216930233537. The reversal of 216930233520 is 25332039612.

216930233520 is a `hidden beast` number, since 2 + 16 + 9 + 302 + 335 + 2 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 2027385307 + ... + 2027385413.

It is an arithmetic number, because the mean of its divisors is an integer number (537434352).

Almost surely, 2^216930233520 is an apocalyptic number.

216930233520 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 216930233520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515936977920).

216930233520 is an abundant number, since it is smaller than the sum of its proper divisors (814943722320).

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

216930233520 is a wasteful number, since it uses less digits than its factorization.

216930233520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 216930233520 in words is "two hundred sixteen billion, nine hundred thirty million, two hundred thirty-three thousand, five hundred twenty".