18793388400 has 120 divisors (see below), whose sum is σ = 60313651584. Its totient is φ = 5002233600.

The previous prime is 18793388371. The next prime is 18793388401. The reversal of 18793388400 is 488339781.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18793388401) 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 23 ways as a sum of consecutive naturals, for example, 642085 + ... + 670715.

Almost surely, 2^18793388400 is an apocalyptic number.

18793388400 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 18793388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30156825792).

18793388400 is an abundant number, since it is smaller than the sum of its proper divisors (41520263184).

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

18793388400 is a wasteful number, since it uses less digits than its factorization.

18793388400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29199 (or 29188 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 18793388400 in words is "eighteen billion, seven hundred ninety-three million, three hundred eighty-eight thousand, four hundred".