10849164312960 has 768 divisors, whose sum is σ = 40242593664000. Its totient is φ = 2789747122176.

The previous prime is 10849164312947. The next prime is 10849164312997. The reversal of 10849164312960 is 6921346194801.

10849164312960 is a `hidden beast` number, since 1 + 0 + 8 + 491 + 64 + 3 + 1 + 2 + 96 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 10849164312897 and 10849164312906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6959052661 + ... + 6959054219.

It is an arithmetic number, because the mean of its divisors is an integer number (52399210500).

Almost surely, 2^{10849164312960} is an apocalyptic number.

10849164312960 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 10849164312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20121296832000).

10849164312960 is an abundant number, since it is smaller than the sum of its proper divisors (29393429351040).

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

10849164312960 is a wasteful number, since it uses less digits than its factorization.

10849164312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10849164312960 in words is "ten trillion, eight hundred forty-nine billion, one hundred sixty-four million, three hundred twelve thousand, nine hundred sixty".