1157734656727 has 16 divisors (see below), whose sum is σ = 1340254836000. Its totient is φ = 988368855040.

The previous prime is 1157734656649. The next prime is 1157734656899. The reversal of 1157734656727 is 7276564377511.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1157734656727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157734650727) 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 15 ways as a sum of consecutive naturals, for example, 6810352 + ... + 6978277.

It is an arithmetic number, because the mean of its divisors is an integer number (83765927250).

Almost surely, 2^{1157734656727} is an apocalyptic number.

1157734656727 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1157734656727 is a deficient number, since it is larger than the sum of its proper divisors (182520179273).

1157734656727 is a wasteful number, since it uses less digits than its factorization.

1157734656727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13789106.

The product of its digits is 51861600, while the sum is 61.

The spelling of 1157734656727 in words is "one trillion, one hundred fifty-seven billion, seven hundred thirty-four million, six hundred fifty-six thousand, seven hundred twenty-seven".