1160106685920 has 2304 divisors, whose sum is σ = 5409492221952. Its totient is φ = 219449917440.

The previous prime is 1160106685897. The next prime is 1160106685979. The reversal of 1160106685920 is 295866010611.

1160106685920 is a `hidden beast` number, since 11 + 601 + 0 + 6 + 6 + 8 + 5 + 9 + 20 = 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 383 ways as a sum of consecutive naturals, for example, 7389214482 + ... + 7389214638.

It is an arithmetic number, because the mean of its divisors is an integer number (2347869888).

Almost surely, 2^{1160106685920} is an apocalyptic number.

1160106685920 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 1160106685920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704746110976).

1160106685920 is an abundant number, since it is smaller than the sum of its proper divisors (4249385536032).

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

1160106685920 is a wasteful number, since it uses less digits than its factorization.

1160106685920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1160106685920 in words is "one trillion, one hundred sixty billion, one hundred six million, six hundred eighty-five thousand, nine hundred twenty".