18800781120 has 336 divisors, whose sum is σ = 70766879040. Its totient is φ = 4543488000.

The previous prime is 18800781073. The next prime is 18800781121. The reversal of 18800781120 is 2118700881.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (18800781121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12956395 + ... + 12957845.

Almost surely, 2^18800781120 is an apocalyptic number.

18800781120 is a gapful number since it is divisible by the number (10) 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 18800781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35383439520).

18800781120 is an abundant number, since it is smaller than the sum of its proper divisors (51966097920).

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

18800781120 is a wasteful number, since it uses less digits than its factorization.

18800781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The spelling of 18800781120 in words is "eighteen billion, eight hundred million, seven hundred eighty-one thousand, one hundred twenty".