22200878628864 has 1824 divisors, whose sum is σ = 80794220532480. Its totient is φ = 6017450508288.

The previous prime is 22200878628823. The next prime is 22200878628953. The reversal of 22200878628864 is 46882687800222.

It is a happy number.

22200878628864 is a `hidden beast` number, since 2 + 220 + 0 + 8 + 78 + 6 + 288 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1824).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267480465367 + ... + 267480465449.

Almost surely, 2^{22200878628864} is an apocalyptic number.

22200878628864 is a gapful number since it is divisible by the number (24) 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 22200878628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40397110266240).

22200878628864 is an abundant number, since it is smaller than the sum of its proper divisors (58593341903616).

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

22200878628864 is an frugal number, since it uses more digits than its factorization.

22200878628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 22200878628864 in words is "twenty-two trillion, two hundred billion, eight hundred seventy-eight million, six hundred twenty-eight thousand, eight hundred sixty-four".