22348085760 has 2560 divisors, whose sum is σ = 118792396800. Its totient is φ = 3822059520.

The previous prime is 22348085707. The next prime is 22348085807. The reversal of 22348085760 is 6758084322.

22348085760 is a `hidden beast` number, since 2 + 23 + 480 + 85 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 255 ways as a sum of consecutive naturals, for example, 1176215031 + ... + 1176215049.

It is an arithmetic number, because the mean of its divisors is an integer number (46403280).

Almost surely, 2^22348085760 is an apocalyptic number.

22348085760 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 22348085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59396198400).

22348085760 is an abundant number, since it is smaller than the sum of its proper divisors (96444311040).

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

22348085760 is a wasteful number, since it uses less digits than its factorization.

22348085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 22348085760 in words is "twenty-two billion, three hundred forty-eight million, eighty-five thousand, seven hundred sixty".