22075634560 has 128 divisors (see below), whose sum is σ = 60500067840. Its totient is φ = 7545415680.

The previous prime is 22075634543. The next prime is 22075634617. The reversal of 22075634560 is 6543657022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1475437 + ... + 1490323.

It is an arithmetic number, because the mean of its divisors is an integer number (472656780).

Almost surely, 2^22075634560 is an apocalyptic number.

22075634560 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 22075634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30250033920).

22075634560 is an abundant number, since it is smaller than the sum of its proper divisors (38424433280).

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

22075634560 is a wasteful number, since it uses less digits than its factorization.

22075634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15244 (or 15232 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 22075634560 in words is "twenty-two billion, seventy-five million, six hundred thirty-four thousand, five hundred sixty".