22086097074720 has 960 divisors, whose sum is σ = 91560714094080. Its totient is φ = 4907918573568.

The previous prime is 22086097074703. The next prime is 22086097074721. The reversal of 22086097074720 is 2747079068022.

It is a happy number.

22086097074720 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 609 + 7 + 0 + 7 + 4 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22086097074721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7173138141 + ... + 7173141219.

It is an arithmetic number, because the mean of its divisors is an integer number (95375743848).

Almost surely, 2^{22086097074720} is an apocalyptic number.

22086097074720 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 22086097074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45780357047040).

22086097074720 is an abundant number, since it is smaller than the sum of its proper divisors (69474617019360).

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

22086097074720 is a wasteful number, since it uses less digits than its factorization.

22086097074720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5287 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 22086097074720 in words is "twenty-two trillion, eighty-six billion, ninety-seven million, seventy-four thousand, seven hundred twenty".