1153086782976 has 800 divisors, whose sum is σ = 3658241190912. Its totient is φ = 361184624640.

The previous prime is 1153086782951. The next prime is 1153086782983. The reversal of 1153086782976 is 6792876803511.

1153086782976 is a `hidden beast` number, since 1 + 1 + 530 + 8 + 6 + 7 + 8 + 2 + 97 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9079423425 + ... + 9079423551.

Almost surely, 2^{1153086782976} is an apocalyptic number.

1153086782976 is a gapful number since it is divisible by the number (16) 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 1153086782976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829120595456).

1153086782976 is an abundant number, since it is smaller than the sum of its proper divisors (2505154407936).

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

1153086782976 is an equidigital number, since it uses as much as digits as its factorization.

1153086782976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1153086782976 in words is "one trillion, one hundred fifty-three billion, eighty-six million, seven hundred eighty-two thousand, nine hundred seventy-six".