116561511000 has 384 divisors, whose sum is σ = 445722600960. Its totient is φ = 28256688000.

The previous prime is 116561510987. The next prime is 116561511047. The reversal of 116561511000 is 115165611.

116561511000 is a `hidden beast` number, since 1 + 1 + 656 + 1 + 5 + 1 + 1 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2651197 + ... + 2694803.

It is an arithmetic number, because the mean of its divisors is an integer number (1160735940).

Almost surely, 2^116561511000 is an apocalyptic number.

116561511000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116561511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222861300480).

116561511000 is an abundant number, since it is smaller than the sum of its proper divisors (329161089960).

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

116561511000 is a wasteful number, since it uses less digits than its factorization.

116561511000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43654 (or 43628 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 116561511000 its reverse (115165611), we get a palindrome (116676676611).

The spelling of 116561511000 in words is "one hundred sixteen billion, five hundred sixty-one million, five hundred eleven thousand".