22365005307840 has 1344 divisors, whose sum is σ = 91150655895936. Its totient is φ = 5170864324608.

The previous prime is 22365005307803. The next prime is 22365005307941. The reversal of 22365005307840 is 4870350056322.

22365005307840 is a `hidden beast` number, since 2 + 2 + 3 + 6 + 5 + 0 + 0 + 530 + 78 + 40 = 666.

It is a super-2 number, since 2×22365005307840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11221777884 + ... + 11221779876.

It is an arithmetic number, because the mean of its divisors is an integer number (67820428494).

Almost surely, 2^{22365005307840} is an apocalyptic number.

22365005307840 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 22365005307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45575327947968).

22365005307840 is an abundant number, since it is smaller than the sum of its proper divisors (68785650588096).

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

22365005307840 is a wasteful number, since it uses less digits than its factorization.

22365005307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 22365005307840 in words is "twenty-two trillion, three hundred sixty-five billion, five million, three hundred seven thousand, eight hundred forty".