115577280036 has 144 divisors (see below), whose sum is σ = 318232212480. Its totient is φ = 35260600320.

The previous prime is 115577280029. The next prime is 115577280037. The reversal of 115577280036 is 630082775511.

It is a happy number.

115577280036 is a `hidden beast` number, since 11 + 557 + 7 + 2 + 80 + 0 + 3 + 6 = 666.

It is a super-2 number, since 2×115577280036² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115577279973 and 115577280000.

It is not an unprimeable number, because it can be changed into a prime (115577280037) 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, 2259156 + ... + 2309748.

It is an arithmetic number, because the mean of its divisors is an integer number (2209945920).

Almost surely, 2^115577280036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115577280036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159116106240).

115577280036 is an abundant number, since it is smaller than the sum of its proper divisors (202654932444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115577280036 is a wasteful number, since it uses less digits than its factorization.

115577280036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50746 (or 50741 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 115577280036 in words is "one hundred fifteen billion, five hundred seventy-seven million, two hundred eighty thousand, thirty-six".