22052572659936 has 1920 divisors, whose sum is σ = 86306508288000. Its totient is φ = 5473577410560.

The previous prime is 22052572659877. The next prime is 22052572659937. The reversal of 22052572659936 is 63995627525022.

It is a happy number.

22052572659936 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 2 + 5 + 7 + 2 + 6 + 599 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22052572659937) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 51166061641 + ... + 51166062071.

It is an arithmetic number, because the mean of its divisors is an integer number (44951306400).

Almost surely, 2^{22052572659936} is an apocalyptic number.

22052572659936 is a gapful number since it is divisible by the number (26) 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 22052572659936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43153254144000).

22052572659936 is an abundant number, since it is smaller than the sum of its proper divisors (64253935628064).

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

22052572659936 is a wasteful number, since it uses less digits than its factorization.

22052572659936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 22052572659936 in words is "twenty-two trillion, fifty-two billion, five hundred seventy-two million, six hundred fifty-nine thousand, nine hundred thirty-six".