22257611680 has 96 divisors (see below), whose sum is σ = 54124035840. Its totient is φ = 8645944320.

The previous prime is 22257611671. The next prime is 22257611699. The reversal of 22257611680 is 8611675222.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756607 + ... + 785473.

It is an arithmetic number, because the mean of its divisors is an integer number (563792040).

Almost surely, 2^22257611680 is an apocalyptic number.

22257611680 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 22257611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27062017920).

22257611680 is an abundant number, since it is smaller than the sum of its proper divisors (31866424160).

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

22257611680 is a wasteful number, since it uses less digits than its factorization.

22257611680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29022 (or 29014 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

It can be divided in two parts, 222576 and 11680, that added together give a 4-th power (234256 = 22⁴).

The spelling of 22257611680 in words is "twenty-two billion, two hundred fifty-seven million, six hundred eleven thousand, six hundred eighty".