1159057410405 has 16 divisors (see below), whose sum is σ = 1855388229120. Its totient is φ = 617865161408.

The previous prime is 1159057410367. The next prime is 1159057410421. The reversal of 1159057410405 is 5040147509511.

It is a cyclic number.

It is not a de Polignac number, because 1159057410405 - 2²³ = 1159049021797 is a prime.

It is a super-2 number, since 2×1159057410405² (a number of 25 digits) contains 22 as substring.

It is a congruent 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, 18642357 + ... + 18704426.

It is an arithmetic number, because the mean of its divisors is an integer number (115961764320).

Almost surely, 2^{1159057410405} is an apocalyptic number.

1159057410405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1159057410405 is a deficient number, since it is larger than the sum of its proper divisors (696330818715).

1159057410405 is a wasteful number, since it uses less digits than its factorization.

1159057410405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37348860.

The product of its (nonzero) digits is 126000, while the sum is 42.

The spelling of 1159057410405 in words is "one trillion, one hundred fifty-nine billion, fifty-seven million, four hundred ten thousand, four hundred five".