221516350899200 has 132 divisors (see below), whose sum is σ = 627534066534912. Its totient is φ = 75948463104000.

The previous prime is 221516350899157. The next prime is 221516350899209. The reversal of 221516350899200 is 2998053615122.

It is not an unprimeable number, because it can be changed into a prime (221516350899209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617890976 + ... + 618249375.

Almost surely, 2^{221516350899200} is an apocalyptic number.

221516350899200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221516350899200 is an abundant number, since it is smaller than the sum of its proper divisors (406017715635712).

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

221516350899200 is a wasteful number, since it uses less digits than its factorization.

221516350899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236140388 (or 1236140365 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 53.

The spelling of 221516350899200 in words is "two hundred twenty-one trillion, five hundred sixteen billion, three hundred fifty million, eight hundred ninety-nine thousand, two hundred".