18782037120 has 384 divisors, whose sum is σ = 75977352000. Its totient is φ = 3902545920.

The previous prime is 18782037101. The next prime is 18782037139. The reversal of 18782037120 is 2173028781.

It is an interprime number because it is at equal distance from previous prime (18782037101) and next prime (18782037139).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1025806 + ... + 1043954.

Almost surely, 2^18782037120 is an apocalyptic number.

18782037120 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 18782037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37988676000).

18782037120 is an abundant number, since it is smaller than the sum of its proper divisors (57195314880).

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

18782037120 is a wasteful number, since it uses less digits than its factorization.

18782037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18196 (or 18177 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 18782037120 in words is "eighteen billion, seven hundred eighty-two million, thirty-seven thousand, one hundred twenty".