21553885838304 has 72 divisors (see below), whose sum is σ = 61308360018360. Its totient is φ = 7182929311488.

The previous prime is 21553885838291. The next prime is 21553885838311. The reversal of 21553885838304 is 40383858835512.

It is a happy number.

21553885838304 is a `hidden beast` number, since 2 + 15 + 5 + 3 + 8 + 8 + 583 + 8 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7630462 + ... + 10066365.

It is an arithmetic number, because the mean of its divisors is an integer number (851505000255).

Almost surely, 2^{21553885838304} is an apocalyptic number.

21553885838304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21553885838304 is an abundant number, since it is smaller than the sum of its proper divisors (39754474180056).

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

21553885838304 is a wasteful number, since it uses less digits than its factorization.

21553885838304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17701072 (or 17701061 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 21553885838304 in words is "twenty-one trillion, five hundred fifty-three billion, eight hundred eighty-five million, eight hundred thirty-eight thousand, three hundred four".