22072159010880 has 1008 divisors, whose sum is σ = 88748351677440. Its totient is φ = 5016798167040.

The previous prime is 22072159010851. The next prime is 22072159010897. The reversal of 22072159010880 is 8801095127022.

22072159010880 is a `hidden beast` number, since 2 + 20 + 7 + 21 + 590 + 10 + 8 + 8 + 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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 642231457 + ... + 642265823.

It is an arithmetic number, because the mean of its divisors is an integer number (88043999680).

Almost surely, 2^{22072159010880} is an apocalyptic number.

22072159010880 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 22072159010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44374175838720).

22072159010880 is an abundant number, since it is smaller than the sum of its proper divisors (66676192666560).

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

22072159010880 is a wasteful number, since it uses less digits than its factorization.

22072159010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34528 (or 34504 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 22072159010880 in words is "twenty-two trillion, seventy-two billion, one hundred fifty-nine million, ten thousand, eight hundred eighty".