22250072880 has 360 divisors, whose sum is σ = 88229589552. Its totient is φ = 5009292288.

The previous prime is 22250072849. The next prime is 22250072893. The reversal of 22250072880 is 8827005222.

22250072880 is a `hidden beast` number, since 2 + 2 + 2 + 500 + 72 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×22250072880² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 2359054 + ... + 2368466.

Almost surely, 2^22250072880 is an apocalyptic number.

22250072880 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 22250072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44114794776).

22250072880 is an abundant number, since it is smaller than the sum of its proper divisors (65979516672).

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

22250072880 is a wasteful number, since it uses less digits than its factorization.

22250072880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9513 (or 9497 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 22250072880 in words is "twenty-two billion, two hundred fifty million, seventy-two thousand, eight hundred eighty".