20318688000 has 1008 divisors, whose sum is σ = 82947367776. Its totient is φ = 4926873600.

The previous prime is 20318687981. The next prime is 20318688001. The reversal of 20318688000 is 88681302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20318688001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 303263967 + ... + 303264033.

Almost surely, 2^20318688000 is an apocalyptic number.

20318688000 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 20318688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41473683888).

20318688000 is an abundant number, since it is smaller than the sum of its proper divisors (62628679776).

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

20318688000 is an frugal number, since it uses more digits than its factorization.

20318688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 20318688000 in words is "twenty billion, three hundred eighteen million, six hundred eighty-eight thousand".