22529578764672 has 1920 divisors, whose sum is σ = 83935078656000. Its totient is φ = 6014570526720.

The previous prime is 22529578764613. The next prime is 22529578764689. The reversal of 22529578764672 is 27646787592522.

It is a happy number.

22529578764672 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 9 + 578 + 7 + 6 + 46 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1422489600) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 22529578764672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 726760605297 + ... + 726760605327.

It is an arithmetic number, because the mean of its divisors is an integer number (43716186800).

Almost surely, 2^{22529578764672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22529578764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41967539328000).

22529578764672 is an abundant number, since it is smaller than the sum of its proper divisors (61405499891328).

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

22529578764672 is an frugal number, since it uses more digits than its factorization.

22529578764672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 72 counting only the distinct ones).

The product of its digits is 1422489600, while the sum is 72.

The spelling of 22529578764672 in words is "twenty-two trillion, five hundred twenty-nine billion, five hundred seventy-eight million, seven hundred sixty-four thousand, six hundred seventy-two".