22800476160 has 1728 divisors, whose sum is σ = 110112125760. Its totient is φ = 4459069440.

The previous prime is 22800476141. The next prime is 22800476221. The reversal of 22800476160 is 6167400822.

22800476160 is a `hidden beast` number, since 2 + 28 + 0 + 0 + 476 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1341204472 + ... + 1341204488.

It is an arithmetic number, because the mean of its divisors is an integer number (63722295).

Almost surely, 2^22800476160 is an apocalyptic number.

22800476160 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 22800476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55056062880).

22800476160 is an abundant number, since it is smaller than the sum of its proper divisors (87311649600).

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

22800476160 is a wasteful number, since it uses less digits than its factorization.

22800476160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 22800476160 its reverse (6167400822), we get a palindrome (28967876982).

The spelling of 22800476160 in words is "twenty-two billion, eight hundred million, four hundred seventy-six thousand, one hundred sixty".