1157010091776 has 864 divisors, whose sum is σ = 4320887800320. Its totient is φ = 289043251200.

The previous prime is 1157010091747. The next prime is 1157010091837. The reversal of 1157010091776 is 6771900107511.

It is a happy number.

1157010091776 is a `hidden beast` number, since 1 + 1 + 570 + 1 + 0 + 0 + 9 + 1 + 7 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 530981055 + ... + 530983233.

Almost surely, 2^{1157010091776} is an apocalyptic number.

1157010091776 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 1157010091776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160443900160).

1157010091776 is an abundant number, since it is smaller than the sum of its proper divisors (3163877708544).

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

1157010091776 is a wasteful number, since it uses less digits than its factorization.

1157010091776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 92610, while the sum is 45.

The spelling of 1157010091776 in words is "one trillion, one hundred fifty-seven billion, ten million, ninety-one thousand, seven hundred seventy-six".