21813769364800 has 84 divisors (see below), whose sum is σ = 61343435738080. Its totient is φ = 7479006635520.

The previous prime is 21813769364767. The next prime is 21813769364843. The reversal of 21813769364800 is 846396731812.

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, 973817790 + ... + 973840189.

Almost surely, 2^{21813769364800} is an apocalyptic number.

21813769364800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21813769364800 is an abundant number, since it is smaller than the sum of its proper divisors (39529666373280).

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

21813769364800 is a wasteful number, since it uses less digits than its factorization.

21813769364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947658008 (or 1947657993 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 21813769364800 in words is "twenty-one trillion, eight hundred thirteen billion, seven hundred sixty-nine million, three hundred sixty-four thousand, eight hundred".