20315720880 has 480 divisors, whose sum is σ = 84575836800. Its totient is φ = 4255580160.

The previous prime is 20315720879. The next prime is 20315720897. The reversal of 20315720880 is 8802751302.

20315720880 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 572 + 0 + 8 + 80 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9761440 + ... + 9763520.

It is an arithmetic number, because the mean of its divisors is an integer number (176199660).

Almost surely, 2^20315720880 is an apocalyptic number.

20315720880 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 20315720880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42287918400).

20315720880 is an abundant number, since it is smaller than the sum of its proper divisors (64260115920).

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

20315720880 is a wasteful number, since it uses less digits than its factorization.

20315720880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 20315720880 in words is "twenty billion, three hundred fifteen million, seven hundred twenty thousand, eight hundred eighty".