19875398400 has 1296 divisors, whose sum is σ = 88567664640. Its totient is φ = 4180377600.

The previous prime is 19875398369. The next prime is 19875398407. The reversal of 19875398400 is 489357891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19875398407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156499137 + ... + 156499263.

Almost surely, 2^19875398400 is an apocalyptic number.

19875398400 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 19875398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44283832320).

19875398400 is an abundant number, since it is smaller than the sum of its proper divisors (68692266240).

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

19875398400 is a wasteful number, since it uses less digits than its factorization.

19875398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 19875398400 in words is "nineteen billion, eight hundred seventy-five million, three hundred ninety-eight thousand, four hundred".