116160809685820 has 1152 divisors, whose sum is σ = 291235399741440. Its totient is φ = 38785845288960.

The previous prime is 116160809685761. The next prime is 116160809685853. The reversal of 116160809685820 is 28586908061611.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1399527827499 + ... + 1399527827581.

It is an arithmetic number, because the mean of its divisors is an integer number (252808506720).

Almost surely, 2^{116160809685820} is an apocalyptic number.

116160809685820 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 116160809685820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145617699870720).

116160809685820 is an abundant number, since it is smaller than the sum of its proper divisors (175074590055620).

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

116160809685820 is a wasteful number, since it uses less digits than its factorization.

116160809685820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 61.

The spelling of 116160809685820 in words is "one hundred sixteen trillion, one hundred sixty billion, eight hundred nine million, six hundred eighty-five thousand, eight hundred twenty".