10849391372160 has 2304 divisors, whose sum is σ = 46168993241280. Its totient is φ = 2407897497600.

The previous prime is 10849391372123. The next prime is 10849391372189. The reversal of 10849391372160 is 6127319394801.

10849391372160 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 9 + 391 + 37 + 216 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10849391372097 and 10849391372106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32194039512 + ... + 32194039848.

Almost surely, 2^{10849391372160} is an apocalyptic number.

10849391372160 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 10849391372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23084496620640).

10849391372160 is an abundant number, since it is smaller than the sum of its proper divisors (35319601869120).

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

10849391372160 is an equidigital number, since it uses as much as digits as its factorization.

10849391372160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10849391372160 in words is "ten trillion, eight hundred forty-nine billion, three hundred ninety-one million, three hundred seventy-two thousand, one hundred sixty".