1157761903395 has 64 divisors (see below), whose sum is σ = 1953399473280. Its totient is φ = 584648343552.

The previous prime is 1157761903391. The next prime is 1157761903411. The reversal of 1157761903395 is 5933091677511.

It is a happy number.

It is not a de Polignac number, because 1157761903395 - 2² = 1157761903391 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1157761903391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52392969 + ... + 52415061.

It is an arithmetic number, because the mean of its divisors is an integer number (30521866770).

Almost surely, 2^{1157761903395} is an apocalyptic number.

1157761903395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1157761903395 is a deficient number, since it is larger than the sum of its proper divisors (795637569885).

1157761903395 is a wasteful number, since it uses less digits than its factorization.

1157761903395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24456.

The product of its (nonzero) digits is 5358150, while the sum is 57.

The spelling of 1157761903395 in words is "one trillion, one hundred fifty-seven billion, seven hundred sixty-one million, nine hundred three thousand, three hundred ninety-five".