22251026488320 has 2816 divisors, whose sum is σ = 98179281715200. Its totient is φ = 4725068857344.

The previous prime is 22251026488291. The next prime is 22251026488349. The reversal of 22251026488320 is 2388462015222.

22251026488320 is a `hidden beast` number, since 2 + 2 + 2 + 510 + 26 + 4 + 88 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22251026488291) and next prime (22251026488349).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 99780387729 + ... + 99780387951.

Almost surely, 2^{22251026488320} is an apocalyptic number.

22251026488320 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 22251026488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49089640857600).

22251026488320 is an abundant number, since it is smaller than the sum of its proper divisors (75928255226880).

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

22251026488320 is an equidigital number, since it uses as much as digits as its factorization.

22251026488320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 22251026488320 in words is "twenty-two trillion, two hundred fifty-one billion, twenty-six million, four hundred eighty-eight thousand, three hundred twenty".