216905240395200 has 336 divisors, whose sum is σ = 813313553212160. Its totient is φ = 49576987975680.

The previous prime is 216905240395159. The next prime is 216905240395229. The reversal of 216905240395200 is 2593042509612.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 216905240395200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1747440339 + ... + 1747564461.

Almost surely, 2^{216905240395200} is an apocalyptic number.

216905240395200 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 216905240395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406656776606080).

216905240395200 is an abundant number, since it is smaller than the sum of its proper divisors (596408312816960).

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

216905240395200 is a wasteful number, since it uses less digits than its factorization.

216905240395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176164 (or 176149 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 216905240395200 in words is "two hundred sixteen trillion, nine hundred five billion, two hundred forty million, three hundred ninety-five thousand, two hundred".