22381013428560 has 840 divisors, whose sum is σ = 83068522366560. Its totient is φ = 5604247056384.

The previous prime is 22381013428541. The next prime is 22381013428573. The reversal of 22381013428560 is 6582431018322.

22381013428560 is a `hidden beast` number, since 2 + 2 + 3 + 81 + 0 + 1 + 3 + 4 + 2 + 8 + 560 = 666.

22381013428560 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8814891771 + ... + 8814894309.

Almost surely, 2^{22381013428560} is an apocalyptic number.

22381013428560 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 22381013428560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41534261183280).

22381013428560 is an abundant number, since it is smaller than the sum of its proper divisors (60687508938000).

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

22381013428560 is a wasteful number, since it uses less digits than its factorization.

22381013428560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

It can be divided in two parts, 2238101 and 3428560, that added together give a triangular number (5666661 = T₃₃₆₆).

The spelling of 22381013428560 in words is "twenty-two trillion, three hundred eighty-one billion, thirteen million, four hundred twenty-eight thousand, five hundred sixty".