1115019878400 has 1008 divisors, whose sum is σ = 4165501212288. Its totient is φ = 284884992000.

The previous prime is 1115019878377. The next prime is 1115019878407. The reversal of 1115019878400 is 48789105111.

1115019878400 is a `hidden beast` number, since 1 + 1 + 1 + 50 + 198 + 7 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1115019878407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5284454295 + ... + 5284454505.

Almost surely, 2^{1115019878400} is an apocalyptic number.

1115019878400 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 1115019878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082750606144).

1115019878400 is an abundant number, since it is smaller than the sum of its proper divisors (3050481333888).

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

1115019878400 is a wasteful number, since it uses less digits than its factorization.

1115019878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 45.

The spelling of 1115019878400 in words is "one trillion, one hundred fifteen billion, nineteen million, eight hundred seventy-eight thousand, four hundred".