22532100807216 has 960 divisors, whose sum is σ = 81879135399936. Its totient is φ = 5246344857600.

The previous prime is 22532100807173. The next prime is 22532100807221. The reversal of 22532100807216 is 61270800123522.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1599943311 + ... + 1599957393.

Almost surely, 2^{22532100807216} is an apocalyptic number.

22532100807216 is a gapful number since it is divisible by the number (26) 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 22532100807216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40939567699968).

22532100807216 is an abundant number, since it is smaller than the sum of its proper divisors (59347034592720).

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

22532100807216 is a wasteful number, since it uses less digits than its factorization.

22532100807216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14270 (or 14257 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 22532100807216 in words is "twenty-two trillion, five hundred thirty-two billion, one hundred million, eight hundred seven thousand, two hundred sixteen".