20887902720 has 360 divisors, whose sum is σ = 76870826604. Its totient is φ = 5240782848.

The previous prime is 20887902653. The next prime is 20887902731. The reversal of 20887902720 is 2720978802.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20173089024 + 714813696 = 142032^2 + 26736^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6656992 + ... + 6660128.

Almost surely, 2^20887902720 is an apocalyptic number.

20887902720 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 20887902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38435413302).

20887902720 is an abundant number, since it is smaller than the sum of its proper divisors (55982923884).

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

20887902720 is a wasteful number, since it uses less digits than its factorization.

20887902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 20887902720 in words is "twenty billion, eight hundred eighty-seven million, nine hundred two thousand, seven hundred twenty".