10893049058304 has 264 divisors, whose sum is σ = 35954381823360. Its totient is φ = 3111642611712.

The previous prime is 10893049058303. The next prime is 10893049058317. The reversal of 10893049058304 is 40385094039801.

10893049058304 is a `hidden beast` number, since 10 + 8 + 9 + 3 + 0 + 49 + 0 + 583 + 0 + 4 = 666.

It is a super-2 number, since 2×10893049058304² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10893049058303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 362735962 + ... + 362765990.

It is an arithmetic number, because the mean of its divisors is an integer number (136190840240).

Almost surely, 2^{10893049058304} is an apocalyptic number.

10893049058304 is a gapful number since it is divisible by the number (14) 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 10893049058304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17977190911680).

10893049058304 is an abundant number, since it is smaller than the sum of its proper divisors (25061332765056).

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

10893049058304 is a wasteful number, since it uses less digits than its factorization.

10893049058304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35685 (or 35664 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 10893049058304 in words is "ten trillion, eight hundred ninety-three billion, forty-nine million, fifty-eight thousand, three hundred four".