18099590400 has 216 divisors, whose sum is σ = 66369988160. Its totient is φ = 4826511360.

The previous prime is 18099590393. The next prime is 18099590407. The reversal of 18099590400 is 409599081.

18099590400 is a `hidden beast` number, since 18 + 0 + 9 + 9 + 590 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18099590393) and next prime (18099590407).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18099590407) 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, 120429 + ... + 225171.

Almost surely, 2^18099590400 is an apocalyptic number.

18099590400 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 18099590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33184994080).

18099590400 is an abundant number, since it is smaller than the sum of its proper divisors (48270397760).

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

18099590400 is a wasteful number, since it uses less digits than its factorization.

18099590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104778 (or 104753 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 18099590400 in words is "eighteen billion, ninety-nine million, five hundred ninety thousand, four hundred".