21385533558312 has 128 divisors (see below), whose sum is σ = 74062453939200. Its totient is φ = 5554684036800.

The previous prime is 21385533558307. The next prime is 21385533558331.

21385533558312 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 5 + 53 + 3 + 5 + 583 + 1 + 2 = 666.

21385533558312 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642886614 + ... + 642919877.

It is an arithmetic number, because the mean of its divisors is an integer number (578612921400).

Almost surely, 2^{21385533558312} is an apocalyptic number.

21385533558312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21385533558312 is an abundant number, since it is smaller than the sum of its proper divisors (52676920380888).

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

21385533558312 is a wasteful number, since it uses less digits than its factorization.

21385533558312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285806524 (or 1285806514 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 21385533558312 in words is "twenty-one trillion, three hundred eighty-five billion, five hundred thirty-three million, five hundred fifty-eight thousand, three hundred twelve".