22510897920 has 864 divisors, whose sum is σ = 94638835200. Its totient is φ = 5120962560.

The previous prime is 22510897901. The next prime is 22510897943. The reversal of 22510897920 is 2979801522.

It is a happy number.

22510897920 is a `hidden beast` number, since 22 + 510 + 8 + 97 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106686615 + ... + 106686825.

Almost surely, 2^22510897920 is an apocalyptic number.

22510897920 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 22510897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47319417600).

22510897920 is an abundant number, since it is smaller than the sum of its proper divisors (72127937280).

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

22510897920 is an frugal number, since it uses more digits than its factorization.

22510897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

It can be divided in two parts, 2251089 and 7920, that added together give a square (2259009 = 1503²).

The spelling of 22510897920 in words is "twenty-two billion, five hundred ten million, eight hundred ninety-seven thousand, nine hundred twenty".