21685182000 has 640 divisors, whose sum is σ = 77905870848. Its totient is φ = 5170176000.

The previous prime is 21685181989. The next prime is 21685182017. The reversal of 21685182000 is 28158612.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158285932 + ... + 158286068.

Almost surely, 2^21685182000 is an apocalyptic number.

21685182000 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 21685182000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38952935424).

21685182000 is an abundant number, since it is smaller than the sum of its proper divisors (56220688848).

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

21685182000 is a wasteful number, since it uses less digits than its factorization.

21685182000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 21685182000 in words is "twenty-one billion, six hundred eighty-five million, one hundred eighty-two thousand".