20872581120 has 208 divisors, whose sum is σ = 74206528320. Its totient is φ = 5565874176.

The previous prime is 20872581101. The next prime is 20872581127. The reversal of 20872581120 is 2118527802.

20872581120 is a `hidden beast` number, since 2 + 0 + 8 + 72 + 581 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×20872581120² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20872581127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 534087 + ... + 571833.

Almost surely, 2^20872581120 is an apocalyptic number.

20872581120 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 20872581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37103264160).

20872581120 is an abundant number, since it is smaller than the sum of its proper divisors (53333947200).

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

20872581120 is an equidigital number, since it uses as much as digits as its factorization.

20872581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37785 (or 37757 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 20872581120 in words is "twenty billion, eight hundred seventy-two million, five hundred eighty-one thousand, one hundred twenty".