1119878680320 has 1728 divisors, whose sum is σ = 4418669359104. Its totient is φ = 270888468480.

The previous prime is 1119878680309. The next prime is 1119878680331. The reversal of 1119878680320 is 230868789111.

1119878680320 is a `hidden beast` number, since 1 + 1 + 198 + 78 + 68 + 0 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (1119878680309) and next prime (1119878680331).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15340803804 + ... + 15340803876.

Almost surely, 2^{1119878680320} is an apocalyptic number.

1119878680320 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 1119878680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209334679552).

1119878680320 is an abundant number, since it is smaller than the sum of its proper divisors (3298790678784).

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

1119878680320 is an equidigital number, since it uses as much as digits as its factorization.

1119878680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 1119878680320 in words is "one trillion, one hundred nineteen billion, eight hundred seventy-eight million, six hundred eighty thousand, three hundred twenty".