20111580720 has 800 divisors, whose sum is σ = 92247952896. Its totient is φ = 3931545600.

The previous prime is 20111580689. The next prime is 20111580751. The reversal of 20111580720 is 2708511102.

20111580720 is a `hidden beast` number, since 2 + 0 + 1 + 11 + 580 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20111580689) and next prime (20111580751).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8481135 + ... + 8483505.

Almost surely, 2^20111580720 is an apocalyptic number.

20111580720 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 20111580720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46123976448).

20111580720 is an abundant number, since it is smaller than the sum of its proper divisors (72136372176).

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

20111580720 is a wasteful number, since it uses less digits than its factorization.

20111580720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 20111580720 in words is "twenty billion, one hundred eleven million, five hundred eighty thousand, seven hundred twenty".