22535687979000 has 1536 divisors, whose sum is σ = 93633636096000. Its totient is φ = 4774588416000.

The previous prime is 22535687978963. The next prime is 22535687979029. The reversal of 22535687979000 is 97978653522.

22535687979000 is a `hidden beast` number, since 2 + 2 + 535 + 6 + 8 + 7 + 9 + 7 + 90 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10829257960 + ... + 10829260040.

It is an arithmetic number, because the mean of its divisors is an integer number (60959398500).

Almost surely, 2^{22535687979000} is an apocalyptic number.

22535687979000 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 22535687979000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46816818048000).

22535687979000 is an abundant number, since it is smaller than the sum of its proper divisors (71097948117000).

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

22535687979000 is a wasteful number, since it uses less digits than its factorization.

22535687979000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 22535687979000 in words is "twenty-two trillion, five hundred thirty-five billion, six hundred eighty-seven million, nine hundred seventy-nine thousand".