22257978588720 has 1600 divisors, whose sum is σ = 96113344352256. Its totient is φ = 4657776721920.

The previous prime is 22257978588689. The next prime is 22257978588749. The reversal of 22257978588720 is 2788587975222.

22257978588720 is a `hidden beast` number, since 2 + 22 + 579 + 7 + 8 + 5 + 8 + 8 + 7 + 20 = 666.

It is a super-2 number, since 2×22257978588720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8985860122 + ... + 8985862598.

Almost surely, 2^{22257978588720} is an apocalyptic number.

22257978588720 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 22257978588720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48056672176128).

22257978588720 is an abundant number, since it is smaller than the sum of its proper divisors (73855365763536).

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

22257978588720 is a wasteful number, since it uses less digits than its factorization.

22257978588720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 632217600, while the sum is 72.

The spelling of 22257978588720 in words is "twenty-two trillion, two hundred fifty-seven billion, nine hundred seventy-eight million, five hundred eighty-eight thousand, seven hundred twenty".