19325318400 has 324 divisors, whose sum is σ = 69564991132. Its totient is φ = 5118197760.

The previous prime is 19325318339. The next prime is 19325318417. The reversal of 19325318400 is 481352391.

19325318400 is a `hidden beast` number, since 19 + 32 + 531 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5005845504 + 14319472896 = 70752^2 + 119664^2 .

It is a super-2 number, since 2×19325318400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9042132 + ... + 9044268.

Almost surely, 2^19325318400 is an apocalyptic number.

19325318400 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 19325318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34782495566).

19325318400 is an abundant number, since it is smaller than the sum of its proper divisors (50239672732).

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

19325318400 is a wasteful number, since it uses less digits than its factorization.

19325318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 19325318400 in words is "nineteen billion, three hundred twenty-five million, three hundred eighteen thousand, four hundred".