216875957760000 has 7800 divisors, whose sum is σ = 1095025356919296. Its totient is φ = 41511813120000.

The previous prime is 216875957759921. The next prime is 216875957760029. The reversal of 216875957760000 is 67759578612.

216875957760000 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 7 + 59 + 577 + 6 + 0 + 0 + 0 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 216875957760000.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 4614382079977 + ... + 4614382080023.

Almost surely, 2^{216875957760000} is an apocalyptic number.

216875957760000 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 216875957760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547512678459648).

216875957760000 is an abundant number, since it is smaller than the sum of its proper divisors (878149399159296).

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

216875957760000 is an equidigital number, since it uses as much as digits as its factorization.

216875957760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 216875957760000 in words is "two hundred sixteen trillion, eight hundred seventy-five billion, nine hundred fifty-seven million, seven hundred sixty thousand".