21742892000 has 48 divisors (see below), whose sum is σ = 53422295472. Its totient is φ = 8697155200.

The previous prime is 21742891979. The next prime is 21742892051. The reversal of 21742892000 is 29824712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2713862 + ... + 2721861.

It is an arithmetic number, because the mean of its divisors is an integer number (1112964489).

Almost surely, 2^21742892000 is an apocalyptic number.

21742892000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21742892000 is an abundant number, since it is smaller than the sum of its proper divisors (31679403472).

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

21742892000 is an equidigital number, since it uses as much as digits as its factorization.

21742892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435748 (or 5435730 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 21742892000 in words is "twenty-one billion, seven hundred forty-two million, eight hundred ninety-two thousand".