18721828125 has 504 divisors, whose sum is σ = 48627502560. Its totient is φ = 6804000000.

The previous prime is 18721828039. The next prime is 18721828159. The reversal of 18721828125 is 52182812781.

It is not a de Polignac number, because 18721828125 - 2¹⁰ = 18721827101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 503 ways as a sum of consecutive naturals, for example, 985359366 + ... + 985359384.

It is an arithmetic number, because the mean of its divisors is an integer number (96483140).

Almost surely, 2^18721828125 is an apocalyptic number.

18721828125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18721828125 is an abundant number, since it is smaller than the sum of its proper divisors (29905674435).

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

18721828125 is a wasteful number, since it uses less digits than its factorization.

18721828125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its digits is 143360, while the sum is 45.

It can be divided in two parts, 1872 and 1828125, that multiplied together give a square (3422250000 = 58500²).

The spelling of 18721828125 in words is "eighteen billion, seven hundred twenty-one million, eight hundred twenty-eight thousand, one hundred twenty-five".