18125452800 has 1620 divisors, whose sum is σ = 86007558780. Its totient is φ = 3622993920.

The previous prime is 18125452783. The next prime is 18125452867. The reversal of 18125452800 is 825452181.

18125452800 is a `hidden beast` number, since 1 + 8 + 125 + 4 + 528 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 161 ways as a sum of consecutive naturals, for example, 953971191 + ... + 953971209.

Almost surely, 2^18125452800 is an apocalyptic number.

18125452800 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 18125452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43003779390).

18125452800 is an abundant number, since it is smaller than the sum of its proper divisors (67882105980).

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

18125452800 is a wasteful number, since it uses less digits than its factorization.

18125452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

It can be divided in two parts, 18 and 125452800, that multiplied together give a square (2258150400 = 47520²).

The spelling of 18125452800 in words is "eighteen billion, one hundred twenty-five million, four hundred fifty-two thousand, eight hundred".