22756608000 has 1152 divisors, whose sum is σ = 100453167360. Its totient is φ = 4836556800.

The previous prime is 22756607989. The next prime is 22756608011. The reversal of 22756608000 is 80665722.

It is an interprime number because it is at equal distance from previous prime (22756607989) and next prime (22756608011).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274175959 + ... + 274176041.

It is an arithmetic number, because the mean of its divisors is an integer number (87198930).

Almost surely, 2^22756608000 is an apocalyptic number.

22756608000 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 22756608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50226583680).

22756608000 is an abundant number, since it is smaller than the sum of its proper divisors (77696559360).

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

22756608000 is a wasteful number, since it uses less digits than its factorization.

22756608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 22756608000 in words is "twenty-two billion, seven hundred fifty-six million, six hundred eight thousand".