198878883840 has 1248 divisors, whose sum is σ = 865548343296. Its totient is φ = 41122529280.

The previous prime is 198878883809. The next prime is 198878883869. The reversal of 198878883840 is 48388878891.

198878883840 is a `hidden beast` number, since 1 + 98 + 87 + 8 + 88 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1190891437 + ... + 1190891603.

It is an arithmetic number, because the mean of its divisors is an integer number (693548352).

Almost surely, 2^198878883840 is an apocalyptic number.

198878883840 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 198878883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432774171648).

198878883840 is an abundant number, since it is smaller than the sum of its proper divisors (666669459456).

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

198878883840 is a wasteful number, since it uses less digits than its factorization.

198878883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 72.

The spelling of 198878883840 in words is "one hundred ninety-eight billion, eight hundred seventy-eight million, eight hundred eighty-three thousand, eight hundred forty".