21725792000 has 432 divisors, whose sum is σ = 61747375872. Its totient is φ = 7603200000.

The previous prime is 21725791991. The next prime is 21725792027. The reversal of 21725792000 is 29752712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120031910 + ... + 120032090.

Almost surely, 2^21725792000 is an apocalyptic number.

21725792000 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 21725792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873687936).

21725792000 is an abundant number, since it is smaller than the sum of its proper divisors (40021583872).

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

21725792000 is a wasteful number, since it uses less digits than its factorization.

21725792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 21725792000 in words is "twenty-one billion, seven hundred twenty-five million, seven hundred ninety-two thousand".