119520878400 has 2520 divisors, whose sum is σ = 586515362400. Its totient is φ = 23572684800.

The previous prime is 119520878387. The next prime is 119520878423. The reversal of 119520878400 is 4878025911.

119520878400 is a `hidden beast` number, since 1 + 1 + 9 + 520 + 87 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 359 ways as a sum of consecutive naturals, for example, 2025777571 + ... + 2025777629.

Almost surely, 2^119520878400 is an apocalyptic number.

119520878400 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 119520878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293257681200).

119520878400 is an abundant number, since it is smaller than the sum of its proper divisors (466994484000).

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

119520878400 is a wasteful number, since it uses less digits than its factorization.

119520878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 119520878400 in words is "one hundred nineteen billion, five hundred twenty million, eight hundred seventy-eight thousand, four hundred".