22755576516064 has 144 divisors (see below), whose sum is σ = 52636798021248. Its totient is φ = 9654820159488.

The previous prime is 22755576516019. The next prime is 22755576516131. The reversal of 22755576516064 is 46061567555722.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22755576515993 and 22755576516011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152835384 + ... + 152984200.

It is an arithmetic number, because the mean of its divisors is an integer number (365533319592).

Almost surely, 2^{22755576516064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22755576516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26318399010624).

22755576516064 is an abundant number, since it is smaller than the sum of its proper divisors (29881221505184).

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

22755576516064 is a wasteful number, since it uses less digits than its factorization.

22755576516064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149817 (or 149802 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 61.

The spelling of 22755576516064 in words is "twenty-two trillion, seven hundred fifty-five billion, five hundred seventy-six million, five hundred sixteen thousand, sixty-four".