22061688871680 has 720 divisors, whose sum is σ = 80942319057600. Its totient is φ = 5734221742080.

The previous prime is 22061688871619. The next prime is 22061688871681. The reversal of 22061688871680 is 8617888616022.

22061688871680 is a `hidden beast` number, since 2 + 2 + 0 + 616 + 8 + 8 + 8 + 7 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (22061688871681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6627120256 + ... + 6627123584.

It is an arithmetic number, because the mean of its divisors is an integer number (112419887580).

Almost surely, 2^{22061688871680} is an apocalyptic number.

22061688871680 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 22061688871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40471159528800).

22061688871680 is an abundant number, since it is smaller than the sum of its proper divisors (58880630185920).

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

22061688871680 is a wasteful number, since it uses less digits than its factorization.

22061688871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4962 (or 4939 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 22061688871680 in words is "twenty-two trillion, sixty-one billion, six hundred eighty-eight million, eight hundred seventy-one thousand, six hundred eighty".