21585746000 has 160 divisors (see below), whose sum is σ = 64239721728. Its totient is φ = 6831475200.

The previous prime is 21585745991. The next prime is 21585746011. The reversal of 21585746000 is 64758512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122699 + ... + 241301.

Almost surely, 2^21585746000 is an apocalyptic number.

21585746000 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 21585746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32119860864).

21585746000 is an abundant number, since it is smaller than the sum of its proper divisors (42653975728).

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

21585746000 is a wasteful number, since it uses less digits than its factorization.

21585746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118646 (or 118630 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 21585746000 in words is "twenty-one billion, five hundred eighty-five million, seven hundred forty-six thousand".