22115421956160 has 896 divisors, whose sum is σ = 88511286528000. Its totient is φ = 5153229103104.

The previous prime is 22115421956119. The next prime is 22115421956171. The reversal of 22115421956160 is 6165912451122.

22115421956160 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 5 + 4 + 21 + 9 + 5 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3369709039 + ... + 3369715601.

It is an arithmetic number, because the mean of its divisors is an integer number (98784918000).

Almost surely, 2^{22115421956160} is an apocalyptic number.

22115421956160 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 22115421956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44255643264000).

22115421956160 is an abundant number, since it is smaller than the sum of its proper divisors (66395864571840).

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

22115421956160 is a wasteful number, since it uses less digits than its factorization.

22115421956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8200 (or 8184 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 22115421956160 in words is "twenty-two trillion, one hundred fifteen billion, four hundred twenty-one million, nine hundred fifty-six thousand, one hundred sixty".