22056506511270 has 512 divisors, whose sum is σ = 67890566430720. Its totient is φ = 4452926607360.

The previous prime is 22056506511253. The next prime is 22056506511283. The reversal of 22056506511270 is 7211560565022.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22437951199 + ... + 22437952181.

It is an arithmetic number, because the mean of its divisors is an integer number (132598762560).

Almost surely, 2^{22056506511270} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22056506511270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33945283215360).

22056506511270 is an abundant number, since it is smaller than the sum of its proper divisors (45834059919450).

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

22056506511270 is a wasteful number, since it uses less digits than its factorization.

22056506511270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020.

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 22056506511270 in words is "twenty-two trillion, fifty-six billion, five hundred six million, five hundred eleven thousand, two hundred seventy".