1116958520160 has 2016 divisors, whose sum is σ = 4985017007040. Its totient is φ = 234979024896.

The previous prime is 1116958520129. The next prime is 1116958520257. The reversal of 1116958520160 is 610258596111.

1116958520160 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 9 + 585 + 2 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 335 ways as a sum of consecutive naturals, for example, 3812144974 + ... + 3812145266.

It is an arithmetic number, because the mean of its divisors is an integer number (2472726690).

Almost surely, 2^{1116958520160} is an apocalyptic number.

1116958520160 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 1116958520160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492508503520).

1116958520160 is an abundant number, since it is smaller than the sum of its proper divisors (3868058486880).

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

1116958520160 is a wasteful number, since it uses less digits than its factorization.

1116958520160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 1116958520160 in words is "one trillion, one hundred sixteen billion, nine hundred fifty-eight million, five hundred twenty thousand, one hundred sixty".