22551183506880 has 672 divisors, whose sum is σ = 93454313472000. Its totient is φ = 4882140241920.

The previous prime is 22551183506807. The next prime is 22551183506909. The reversal of 22551183506880 is 8860538115522.

22551183506880 is a `hidden beast` number, since 2 + 2 + 5 + 51 + 1 + 8 + 3 + 506 + 8 + 80 = 666.

22551183506880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×22551183506880³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

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, 28989246 + ... + 29756994.

Almost surely, 2^{22551183506880} is an apocalyptic number.

22551183506880 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 22551183506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46727156736000).

22551183506880 is an abundant number, since it is smaller than the sum of its proper divisors (70903129965120).

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

22551183506880 is a wasteful number, since it uses less digits than its factorization.

22551183506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767857 (or 767844 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 22551183506880 in words is "twenty-two trillion, five hundred fifty-one billion, one hundred eighty-three million, five hundred six thousand, eight hundred eighty".