18199251840 has 1152 divisors, whose sum is σ = 79390402560. Its totient is φ = 3467059200.

The previous prime is 18199251839. The next prime is 18199251853. The reversal of 18199251840 is 4815299181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18199251840.

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 143 ways as a sum of consecutive naturals, for example, 587072625 + ... + 587072655.

It is an arithmetic number, because the mean of its divisors is an integer number (68915280).

Almost surely, 2^18199251840 is an apocalyptic number.

18199251840 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 18199251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39695201280).

18199251840 is an abundant number, since it is smaller than the sum of its proper divisors (61191150720).

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

18199251840 is a wasteful number, since it uses less digits than its factorization.

18199251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 48.

The spelling of 18199251840 in words is "eighteen billion, one hundred ninety-nine million, two hundred fifty-one thousand, eight hundred forty".