19818086400 has 552 divisors, whose sum is σ = 83214981440. Its totient is φ = 4529848320.

The previous prime is 19818086399. The next prime is 19818086419. The reversal of 19818086400 is 468081891.

It is a Jordan-Polya number, since it can be written as 8! ⋅ 5! ⋅ (2!)¹².

19818086400 is a `hidden beast` number, since 1 + 98 + 1 + 80 + 86 + 400 = 666.

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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2831155197 + ... + 2831155203.

Almost surely, 2^19818086400 is an apocalyptic number.

19818086400 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 19818086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41607490720).

19818086400 is an abundant number, since it is smaller than the sum of its proper divisors (63396895040).

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

19818086400 is an frugal number, since it uses more digits than its factorization.

19818086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 19818086400 in words is "nineteen billion, eight hundred eighteen million, eighty-six thousand, four hundred".