21387892000 has 192 divisors, whose sum is σ = 54684564480. Its totient is φ = 8212224000.

The previous prime is 21387891983. The next prime is 21387892021. The reversal of 21387892000 is 29878312.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 16987371 + ... + 16988629.

It is an arithmetic number, because the mean of its divisors is an integer number (284815440).

Almost surely, 2^21387892000 is an apocalyptic number.

21387892000 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 21387892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27342282240).

21387892000 is an abundant number, since it is smaller than the sum of its proper divisors (33296672480).

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

21387892000 is a wasteful number, since it uses less digits than its factorization.

21387892000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 21387892000 in words is "twenty-one billion, three hundred eighty-seven million, eight hundred ninety-two thousand".