22078815179904 has 1728 divisors, whose sum is σ = 83554191335160. Its totient is φ = 5769924378624.

The previous prime is 22078815179899. The next prime is 22078815179957. The reversal of 22078815179904 is 40997151887022.

22078815179904 is a `hidden beast` number, since 2 + 20 + 7 + 8 + 8 + 1 + 517 + 9 + 90 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20288250045504 + 1790565134400 = 4504248^2 + 1338120^2 .

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25883721942 + ... + 25883722794.

Almost surely, 2^{22078815179904} is an apocalyptic number.

22078815179904 is a gapful number since it is divisible by the number (24) 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 22078815179904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41777095667580).

22078815179904 is an abundant number, since it is smaller than the sum of its proper divisors (61475376155256).

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

22078815179904 is an frugal number, since it uses more digits than its factorization.

22078815179904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 22078815179904 in words is "twenty-two trillion, seventy-eight billion, eight hundred fifteen million, one hundred seventy-nine thousand, nine hundred four".