22195720528128 has 864 divisors, whose sum is σ = 78215676005376. Its totient is φ = 6146486820864.

The previous prime is 22195720528099. The next prime is 22195720528183. The reversal of 22195720528128 is 82182502759122.

22195720528128 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 572 + 0 + 52 + 8 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1915565151 + ... + 1915576737.

It is an arithmetic number, because the mean of its divisors is an integer number (90527402784).

Almost surely, 2^{22195720528128} is an apocalyptic number.

22195720528128 is a gapful number since it is divisible by the number (28) 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 22195720528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39107838002688).

22195720528128 is an abundant number, since it is smaller than the sum of its proper divisors (56019955477248).

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

22195720528128 is an equidigital number, since it uses as much as digits as its factorization.

22195720528128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11761 (or 11735 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 22195720528128 in words is "twenty-two trillion, one hundred ninety-five billion, seven hundred twenty million, five hundred twenty-eight thousand, one hundred twenty-eight".