22012721408160 has 1536 divisors, whose sum is σ = 96530492620800. Its totient is φ = 4571660943360.

The previous prime is 22012721408149. The next prime is 22012721408189. The reversal of 22012721408160 is 6180412721022.

22012721408160 is a `hidden beast` number, since 2 + 20 + 1 + 2 + 72 + 1 + 408 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2012678212 + ... + 2012689148.

It is an arithmetic number, because the mean of its divisors is an integer number (62845372800).

Almost surely, 2^{22012721408160} is an apocalyptic number.

22012721408160 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 22012721408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48265246310400).

22012721408160 is an abundant number, since it is smaller than the sum of its proper divisors (74517771212640).

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

22012721408160 is a wasteful number, since it uses less digits than its factorization.

22012721408160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11131 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 22012721408160 in words is "twenty-two trillion, twelve billion, seven hundred twenty-one million, four hundred eight thousand, one hundred sixty".