115380083511 has 48 divisors (see below), whose sum is σ = 207947600640. Its totient is φ = 59890527360.

The previous prime is 115380083503. The next prime is 115380083513.

115380083511 is a `hidden beast` number, since 11 + 53 + 8 + 0 + 0 + 83 + 511 = 666.

115380083511 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 115380083511 - 2³ = 115380083503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115380083513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824235 + ... + 954003.

It is an arithmetic number, because the mean of its divisors is an integer number (4332241680).

Almost surely, 2^115380083511 is an apocalyptic number.

115380083511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

115380083511 is a deficient number, since it is larger than the sum of its proper divisors (92567517129).

115380083511 is a wasteful number, since it uses less digits than its factorization.

115380083511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131076 (or 131073 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 115380083511 in words is "one hundred fifteen billion, three hundred eighty million, eighty-three thousand, five hundred eleven".