215538940800 has 144 divisors (see below), whose sum is σ = 769092437880. Its totient is φ = 57477043200.

The previous prime is 215538940789. The next prime is 215538940843. The reversal of 215538940800 is 8049835512.

215538940800 is a `hidden beast` number, since 2 + 1 + 553 + 8 + 94 + 0 + 8 + 0 + 0 = 666.

215538940800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3713196 + ... + 3770795.

Almost surely, 2^215538940800 is an apocalyptic number.

215538940800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215538940800 is an abundant number, since it is smaller than the sum of its proper divisors (553553497080).

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

215538940800 is a wasteful number, since it uses less digits than its factorization.

215538940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7484021 (or 7484001 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 215538940800 in words is "two hundred fifteen billion, five hundred thirty-eight million, nine hundred forty thousand, eight hundred".