22005187308720 has 1600 divisors, whose sum is σ = 97607045606400. Its totient is φ = 4554811699200.

The previous prime is 22005187308677. The next prime is 22005187308743. The reversal of 22005187308720 is 2780378150022.

22005187308720 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 518 + 7 + 30 + 87 + 20 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6870178639 + ... + 6870181841.

It is an arithmetic number, because the mean of its divisors is an integer number (61004403504).

Almost surely, 2^{22005187308720} is an apocalyptic number.

22005187308720 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 22005187308720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48803522803200).

22005187308720 is an abundant number, since it is smaller than the sum of its proper divisors (75601858297680).

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

22005187308720 is a wasteful number, since it uses less digits than its factorization.

22005187308720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 22005187308720 in words is "twenty-two trillion, five billion, one hundred eighty-seven million, three hundred eight thousand, seven hundred twenty".