22700087198880 has 1536 divisors, whose sum is σ = 95488231587840. Its totient is φ = 4398712750080.

The previous prime is 22700087198857. The next prime is 22700087198897. The reversal of 22700087198880 is 8889178000722.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 9549888252 + ... + 9549890628.

It is an arithmetic number, because the mean of its divisors is an integer number (62166817440).

Almost surely, 2^{22700087198880} is an apocalyptic number.

22700087198880 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 22700087198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47744115793920).

22700087198880 is an abundant number, since it is smaller than the sum of its proper divisors (72788144388960).

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

22700087198880 is a wasteful number, since it uses less digits than its factorization.

22700087198880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 60.

The spelling of 22700087198880 in words is "twenty-two trillion, seven hundred billion, eighty-seven million, one hundred ninety-eight thousand, eight hundred eighty".