1157638367511 has 8 divisors (see below), whose sum is σ = 1715019803760. Its totient is φ = 771758911656.

The previous prime is 1157638367491. The next prime is 1157638367521.

1157638367511 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 63 + 8 + 3 + 67 + 511 = 666.

1157638367511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1157638367511 - 2⁶ = 1157638367447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157638367521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21437747520 + ... + 21437747573.

It is an arithmetic number, because the mean of its divisors is an integer number (214377475470).

Almost surely, 2^{1157638367511} is an apocalyptic number.

1157638367511 is a deficient number, since it is larger than the sum of its proper divisors (557381436249).

1157638367511 is an equidigital number, since it uses as much as digits as its factorization.

1157638367511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42875495102 (or 42875495096 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 1157638367511 in words is "one trillion, one hundred fifty-seven billion, six hundred thirty-eight million, three hundred sixty-seven thousand, five hundred eleven".