1161117102528 has 42 divisors (see below), whose sum is σ = 3328132529904. Its totient is φ = 387039033984.

The previous prime is 1161117102443. The next prime is 1161117102583. The reversal of 1161117102528 is 8252017111611.

It is a happy number.

1161117102528 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 117 + 10 + 2 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1161117102492 and 1161117102501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1007913576 + ... + 1007914727.

It is an arithmetic number, because the mean of its divisors is an integer number (79241250712).

Almost surely, 2^{1161117102528} is an apocalyptic number.

1161117102528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1161117102528 is an abundant number, since it is smaller than the sum of its proper divisors (2167015427376).

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

1161117102528 is a wasteful number, since it uses less digits than its factorization.

1161117102528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015828321 (or 2015828308 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 36.

The spelling of 1161117102528 in words is "one trillion, one hundred sixty-one billion, one hundred seventeen million, one hundred two thousand, five hundred twenty-eight".