22085770307328 has 576 divisors, whose sum is σ = 82023986688000. Its totient is φ = 5824810414080.

The previous prime is 22085770307261. The next prime is 22085770307383. The reversal of 22085770307328 is 82370307758022.

22085770307328 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 5 + 7 + 7 + 0 + 307 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×22085770307328² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30462313 + ... + 31178903.

Almost surely, 2^{22085770307328} is an apocalyptic number.

22085770307328 is a gapful number since it is divisible by the number (28) 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 22085770307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41011993344000).

22085770307328 is an abundant number, since it is smaller than the sum of its proper divisors (59938216380672).

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

22085770307328 is an equidigital number, since it uses as much as digits as its factorization.

22085770307328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716650 (or 716616 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 22085770307328 in words is "twenty-two trillion, eighty-five billion, seven hundred seventy million, three hundred seven thousand, three hundred twenty-eight".