19508198400 has 396 divisors, whose sum is σ = 70344368952. Its totient is φ = 5165383680.

The previous prime is 19508198371. The next prime is 19508198407. The reversal of 19508198400 is 489180591.

19508198400 is a `hidden beast` number, since 1 + 9 + 50 + 8 + 198 + 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 not an unprimeable number, because it can be changed into a prime (19508198407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52300614 + ... + 52300986.

Almost surely, 2^19508198400 is an apocalyptic number.

19508198400 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 19508198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35172184476).

19508198400 is an abundant number, since it is smaller than the sum of its proper divisors (50836170552).

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

19508198400 is a wasteful number, since it uses less digits than its factorization.

19508198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 19508198400 in words is "nineteen billion, five hundred eight million, one hundred ninety-eight thousand, four hundred".