18876142900 has 72 divisors (see below), whose sum is σ = 41580713664. Its totient is φ = 7436563200.

The previous prime is 18876142853. The next prime is 18876142903. The reversal of 18876142900 is 924167881.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18876142903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7086969 + ... + 7089631.

It is an arithmetic number, because the mean of its divisors is an integer number (577509912).

Almost surely, 2^18876142900 is an apocalyptic number.

18876142900 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 18876142900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20790356832).

18876142900 is an abundant number, since it is smaller than the sum of its proper divisors (22704570764).

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

18876142900 is a wasteful number, since it uses less digits than its factorization.

18876142900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 18876142900 in words is "eighteen billion, eight hundred seventy-six million, one hundred forty-two thousand, nine hundred".