22511371680 has 576 divisors, whose sum is σ = 92190099456. Its totient is φ = 4893696000.

The previous prime is 22511371669. The next prime is 22511371733. The reversal of 22511371680 is 8617311522.

22511371680 is a `hidden beast` number, since 22 + 511 + 37 + 16 + 80 = 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 95 ways as a sum of consecutive naturals, for example, 19060690 + ... + 19061870.

It is an arithmetic number, because the mean of its divisors is an integer number (160052256).

Almost surely, 2^22511371680 is an apocalyptic number.

22511371680 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 22511371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46095049728).

22511371680 is an abundant number, since it is smaller than the sum of its proper divisors (69678727776).

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

22511371680 is a wasteful number, since it uses less digits than its factorization.

22511371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 22511371680 in words is "twenty-two billion, five hundred eleven million, three hundred seventy-one thousand, six hundred eighty".