18157708800 has 1440 divisors, whose sum is σ = 85488099840. Its totient is φ = 3568435200.

The previous prime is 18157708783. The next prime is 18157708841. The reversal of 18157708800 is 880775181.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 204019156 + ... + 204019244.

It is an arithmetic number, because the mean of its divisors is an integer number (59366736).

Almost surely, 2^18157708800 is an apocalyptic number.

18157708800 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 18157708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42744049920).

18157708800 is an abundant number, since it is smaller than the sum of its proper divisors (67330391040).

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

18157708800 is a wasteful number, since it uses less digits than its factorization.

18157708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

It can be divided in two parts, 18 and 157708800, that multiplied together give a square (2838758400 = 53280²).

The spelling of 18157708800 in words is "eighteen billion, one hundred fifty-seven million, seven hundred eight thousand, eight hundred".