22896617760 has 384 divisors, whose sum is σ = 85419048960. Its totient is φ = 5714869248.

The previous prime is 22896617743. The next prime is 22896617767. The reversal of 22896617760 is 6771669822.

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

It is a junction number, because it is equal to n+sod(n) for n = 22896617697 and 22896617706.

It is not an unprimeable number, because it can be changed into a prime (22896617767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4667469 + ... + 4672371.

It is an arithmetic number, because the mean of its divisors is an integer number (222445440).

Almost surely, 2^22896617760 is an apocalyptic number.

22896617760 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 22896617760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42709524480).

22896617760 is an abundant number, since it is smaller than the sum of its proper divisors (62522431200).

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

22896617760 is a wasteful number, since it uses less digits than its factorization.

22896617760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4997 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 22896617760 in words is "twenty-two billion, eight hundred ninety-six million, six hundred seventeen thousand, seven hundred sixty".