1157717005705 has 16 divisors (see below), whose sum is σ = 1502717477184. Its totient is φ = 851163261120.

The previous prime is 1157717005681. The next prime is 1157717005721. The reversal of 1157717005705 is 5075007177511.

It is a de Polignac number, because none of the positive numbers 2^k-1157717005705 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39216591 + ... + 39246100.

It is an arithmetic number, because the mean of its divisors is an integer number (93919842324).

Almost surely, 2^{1157717005705} is an apocalyptic number.

It is an amenable number.

1157717005705 is a deficient number, since it is larger than the sum of its proper divisors (345000471479).

1157717005705 is a wasteful number, since it uses less digits than its factorization.

1157717005705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78462936.

The product of its (nonzero) digits is 300125, while the sum is 46.

The spelling of 1157717005705 in words is "one trillion, one hundred fifty-seven billion, seven hundred seventeen million, five thousand, seven hundred five".