22635542160 has 1440 divisors, whose sum is σ = 105744517632. Its totient is φ = 4273274880.

The previous prime is 22635542159. The next prime is 22635542201. The reversal of 22635542160 is 6124553622.

22635542160 is a `hidden beast` number, since 2 + 2 + 635 + 5 + 4 + 2 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 310075884 + ... + 310075956.

Almost surely, 2^22635542160 is an apocalyptic number.

22635542160 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 22635542160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52872258816).

22635542160 is an abundant number, since it is smaller than the sum of its proper divisors (83108975472).

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

22635542160 is a wasteful number, since it uses less digits than its factorization.

22635542160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 22635542160 in words is "twenty-two billion, six hundred thirty-five million, five hundred forty-two thousand, one hundred sixty".