22540930203792 has 960 divisors, whose sum is σ = 82839337943040. Its totient is φ = 5099886489600.

The previous prime is 22540930203763. The next prime is 22540930203851. The reversal of 22540930203792 is 29730203904522.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 4665890817 + ... + 4665895647.

It is an arithmetic number, because the mean of its divisors is an integer number (86290977024).

Almost surely, 2^{22540930203792} is an apocalyptic number.

22540930203792 is a gapful number since it is divisible by the number (22) 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 22540930203792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41419668971520).

22540930203792 is an abundant number, since it is smaller than the sum of its proper divisors (60298407739248).

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

22540930203792 is a wasteful number, since it uses less digits than its factorization.

22540930203792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5180 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

It can be divided in two parts, 22540930 and 203792, that added together give a palindrome (22744722).

The spelling of 22540930203792 in words is "twenty-two trillion, five hundred forty billion, nine hundred thirty million, two hundred three thousand, seven hundred ninety-two".