21874104000 has 1792 divisors, whose sum is σ = 104074813440. Its totient is φ = 4379443200.

The previous prime is 21874103981. The next prime is 21874104001. The reversal of 21874104000 is 40147812.

21874104000 is a `hidden beast` number, since 218 + 7 + 41 + 0 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21874104001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 591191982 + ... + 591192018.

Almost surely, 2^21874104000 is an apocalyptic number.

21874104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21874104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52037406720).

21874104000 is an abundant number, since it is smaller than the sum of its proper divisors (82200709440).

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

21874104000 is a wasteful number, since it uses less digits than its factorization.

21874104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 21874104000 in words is "twenty-one billion, eight hundred seventy-four million, one hundred four thousand".