1150076003328 has 528 divisors, whose sum is σ = 3867606123264. Its totient is φ = 322374205440.

The previous prime is 1150076003311. The next prime is 1150076003383. The reversal of 1150076003328 is 8233006700511.

1150076003328 is a `hidden beast` number, since 1 + 15 + 0 + 0 + 7 + 600 + 3 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1150076003292 and 1150076003301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1177149976 + ... + 1177150952.

Almost surely, 2^{1150076003328} is an apocalyptic number.

1150076003328 is a gapful number since it is divisible by the number (18) 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 1150076003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933803061632).

1150076003328 is an abundant number, since it is smaller than the sum of its proper divisors (2717530119936).

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

1150076003328 is a wasteful number, since it uses less digits than its factorization.

1150076003328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1150076003328 in words is "one trillion, one hundred fifty billion, seventy-six million, three thousand, three hundred twenty-eight".