19198670400 has 1512 divisors, whose sum is σ = 89914780800. Its totient is φ = 3874590720.

The previous prime is 19198670311. The next prime is 19198670411. The reversal of 19198670400 is 407689191.

It is a happy number.

19198670400 is a `hidden beast` number, since 1 + 91 + 98 + 6 + 70 + 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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 834724789 + ... + 834724811.

Almost surely, 2^19198670400 is an apocalyptic number.

19198670400 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 19198670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44957390400).

19198670400 is an abundant number, since it is smaller than the sum of its proper divisors (70716110400).

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

19198670400 is a wasteful number, since it uses less digits than its factorization.

19198670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 19198670400 in words is "nineteen billion, one hundred ninety-eight million, six hundred seventy thousand, four hundred".