22190715106560 has 5760 divisors, whose sum is σ = 112904157864960. Its totient is φ = 4013162496000.

The previous prime is 22190715106541. The next prime is 22190715106621. The reversal of 22190715106560 is 6560151709122.

It is a happy number.

22190715106560 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 0 + 71 + 5 + 10 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 219710050510 + ... + 219710050610.

It is an arithmetic number, because the mean of its divisors is an integer number (19601416296).

Almost surely, 2^{22190715106560} is an apocalyptic number.

22190715106560 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 22190715106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56452078932480).

22190715106560 is an abundant number, since it is smaller than the sum of its proper divisors (90713442758400).

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

22190715106560 is a wasteful number, since it uses less digits than its factorization.

22190715106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 22190715106560 in words is "twenty-two trillion, one hundred ninety billion, seven hundred fifteen million, one hundred six thousand, five hundred sixty".