21874429297920 has 144 divisors (see below), whose sum is σ = 70394753765952. Its totient is φ = 5788652912640.

The previous prime is 21874429297867. The next prime is 21874429297943. The reversal of 21874429297920 is 2979292447812.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21239197 + ... + 22245276.

It is an arithmetic number, because the mean of its divisors is an integer number (488852456708).

Almost surely, 2^{21874429297920} is an apocalyptic number.

21874429297920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21874429297920 is an abundant number, since it is smaller than the sum of its proper divisors (48520324468032).

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

21874429297920 is a wasteful number, since it uses less digits than its factorization.

21874429297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43484628 (or 43484614 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 66.

The spelling of 21874429297920 in words is "twenty-one trillion, eight hundred seventy-four billion, four hundred twenty-nine million, two hundred ninety-seven thousand, nine hundred twenty".