22951262880 has 864 divisors, whose sum is σ = 99383251968. Its totient is φ = 4780339200.

The previous prime is 22951262863. The next prime is 22951262881. The reversal of 22951262880 is 8826215922.

22951262880 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 12 + 628 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22951262881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 120163585 + ... + 120163775.

It is an arithmetic number, because the mean of its divisors is an integer number (115026912).

Almost surely, 2^22951262880 is an apocalyptic number.

22951262880 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 22951262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49691625984).

22951262880 is an abundant number, since it is smaller than the sum of its proper divisors (76431989088).

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

22951262880 is a wasteful number, since it uses less digits than its factorization.

22951262880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 22951262880 in words is "twenty-two billion, nine hundred fifty-one million, two hundred sixty-two thousand, eight hundred eighty".