22513941031680 has 1080 divisors, whose sum is σ = 94429633803120. Its totient is φ = 5106609930240.

The previous prime is 22513941031643. The next prime is 22513941031753. The reversal of 22513941031680 is 8613014931522.

22513941031680 is a `hidden beast` number, since 2 + 2 + 513 + 9 + 41 + 0 + 3 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

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 119 ways as a sum of consecutive naturals, for example, 665505006 + ... + 665538834.

It is an arithmetic number, because the mean of its divisors is an integer number (87434846114).

Almost surely, 2^{22513941031680} is an apocalyptic number.

22513941031680 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 22513941031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47214816901560).

22513941031680 is an abundant number, since it is smaller than the sum of its proper divisors (71915692771440).

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

22513941031680 is a wasteful number, since it uses less digits than its factorization.

22513941031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34007 (or 33977 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 22513941031680 in words is "twenty-two trillion, five hundred thirteen billion, nine hundred forty-one million, thirty-one thousand, six hundred eighty".