216951799680 has 1728 divisors, whose sum is σ = 993262364640. Its totient is φ = 44341862400.

The previous prime is 216951799679. The next prime is 216951799697. The reversal of 216951799680 is 86997159612.

216951799680 is a `hidden beast` number, since 21 + 6 + 9 + 517 + 9 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3556586850 + ... + 3556586910.

Almost surely, 2^216951799680 is an apocalyptic number.

216951799680 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 216951799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496631182320).

216951799680 is an abundant number, since it is smaller than the sum of its proper divisors (776310564960).

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

216951799680 is an frugal number, since it uses more digits than its factorization.

216951799680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 216951799680 in words is "two hundred sixteen billion, nine hundred fifty-one million, seven hundred ninety-nine thousand, six hundred eighty".