10834749319680 has 2160 divisors, whose sum is σ = 46161264356064. Its totient is φ = 2417572085760.

The previous prime is 10834749319679. The next prime is 10834749319711. The reversal of 10834749319680 is 8691394743801.

10834749319680 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 474 + 93 + 19 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 31224061267 + ... + 31224061613.

Almost surely, 2^{10834749319680} is an apocalyptic number.

10834749319680 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 10834749319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23080632178032).

10834749319680 is an abundant number, since it is smaller than the sum of its proper divisors (35326515036384).

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

10834749319680 is an frugal number, since it uses more digits than its factorization.

10834749319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 10834749319680 in words is "ten trillion, eight hundred thirty-four billion, seven hundred forty-nine million, three hundred nineteen thousand, six hundred eighty".