1157993250876 has 1296 divisors, whose sum is σ = 4160860354560. Its totient is φ = 269438400000.

The previous prime is 1157993250871. The next prime is 1157993250913. The reversal of 1157993250876 is 6780523997511.

1157993250876 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 99 + 32 + 508 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157993250871) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 7668829401 + ... + 7668829551.

Almost surely, 2^{1157993250876} 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 1157993250876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080430177280).

1157993250876 is an abundant number, since it is smaller than the sum of its proper divisors (3002867103684).

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

1157993250876 is a wasteful number, since it uses less digits than its factorization.

1157993250876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 1157993250876 in words is "one trillion, one hundred fifty-seven billion, nine hundred ninety-three million, two hundred fifty thousand, eight hundred seventy-six".