22475087990784 has 1872 divisors, whose sum is σ = 82890422072640. Its totient is φ = 5796790272000.

The previous prime is 22475087990737. The next prime is 22475087990821. The reversal of 22475087990784 is 48709978057422.

22475087990784 is a `hidden beast` number, since 2 + 2 + 47 + 508 + 7 + 9 + 9 + 0 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-4 number, since 4×22475087990784⁴ (a number of 55 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53385006894 + ... + 53385007314.

It is an arithmetic number, because the mean of its divisors is an integer number (44279071620).

Almost surely, 2^{22475087990784} is an apocalyptic number.

22475087990784 is a gapful number since it is divisible by the number (24) 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 22475087990784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41445211036320).

22475087990784 is an abundant number, since it is smaller than the sum of its proper divisors (60415334081856).

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

22475087990784 is a wasteful number, since it uses less digits than its factorization.

22475087990784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 22475087990784 in words is "twenty-two trillion, four hundred seventy-five billion, eighty-seven million, nine hundred ninety thousand, seven hundred eighty-four".