1150791952128 has 288 divisors, whose sum is σ = 3783553492992. Its totient is φ = 302380646400.

The previous prime is 1150791952099. The next prime is 1150791952133. The reversal of 1150791952128 is 8212591970511.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 18909268 + ... + 18970028.

Almost surely, 2^{1150791952128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150791952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891776746496).

1150791952128 is an abundant number, since it is smaller than the sum of its proper divisors (2632761540864).

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

1150791952128 is a wasteful number, since it uses less digits than its factorization.

1150791952128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61071 (or 61057 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 51.

The spelling of 1150791952128 in words is "one trillion, one hundred fifty billion, seven hundred ninety-one million, nine hundred fifty-two thousand, one hundred twenty-eight".