20815872000 has 816 divisors, whose sum is σ = 87022755456. Its totient is φ = 4325376000.

The previous prime is 20815871957. The next prime is 20815872001. The reversal of 20815872000 is 27851802.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20815872001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1892351995 + ... + 1892352005.

Almost surely, 2^20815872000 is an apocalyptic number.

20815872000 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 20815872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43511377728).

20815872000 is an abundant number, since it is smaller than the sum of its proper divisors (66206883456).

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

20815872000 is an frugal number, since it uses more digits than its factorization.

20815872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 20815872000 in words is "twenty billion, eight hundred fifteen million, eight hundred seventy-two thousand".