21800291775408 has 160 divisors (see below), whose sum is σ = 65512581926400. Its totient is φ = 6931653168384.

The previous prime is 21800291775403. The next prime is 21800291775469. The reversal of 21800291775408 is 80457719200812.

21800291775408 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 0 + 2 + 91 + 7 + 7 + 540 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21800291775403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9442860 + ... + 11522507.

It is an arithmetic number, because the mean of its divisors is an integer number (409453637040).

Almost surely, 2^{21800291775408} is an apocalyptic number.

It is an amenable number.

21800291775408 is an abundant number, since it is smaller than the sum of its proper divisors (43712290150992).

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

21800291775408 is a wasteful number, since it uses less digits than its factorization.

21800291775408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20965496 (or 20965484 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 21800291775408 in words is "twenty-one trillion, eight hundred billion, two hundred ninety-one million, seven hundred seventy-five thousand, four hundred eight".