1116399072600 has 960 divisors, whose sum is σ = 4518282954240. Its totient is φ = 250213017600.

The previous prime is 1116399072587. The next prime is 1116399072617. The reversal of 1116399072600 is 62709936111.

1116399072600 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 39 + 9 + 0 + 7 + 2 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2520087979 + ... + 2520088421.

It is an arithmetic number, because the mean of its divisors is an integer number (4706544744).

Almost surely, 2^{1116399072600} is an apocalyptic number.

1116399072600 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 1116399072600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259141477120).

1116399072600 is an abundant number, since it is smaller than the sum of its proper divisors (3401883881640).

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

1116399072600 is a wasteful number, since it uses less digits than its factorization.

1116399072600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 1116399072600 in words is "one trillion, one hundred sixteen billion, three hundred ninety-nine million, seventy-two thousand, six hundred".