21125632000 has 416 divisors, whose sum is σ = 59862187008. Its totient is φ = 7434240000.

The previous prime is 21125631983. The next prime is 21125632027. The reversal of 21125632000 is 23652112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 681471985 + ... + 681472015.

It is an arithmetic number, because the mean of its divisors is an integer number (143899488).

Almost surely, 2^21125632000 is an apocalyptic number.

21125632000 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 21125632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29931093504).

21125632000 is an abundant number, since it is smaller than the sum of its proper divisors (38736555008).

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

21125632000 is an frugal number, since it uses more digits than its factorization.

21125632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 21125632000 in words is "twenty-one billion, one hundred twenty-five million, six hundred thirty-two thousand".