10834676536320 has 3520 divisors, whose sum is σ = 50551501486080. Its totient is φ = 2212255825920.

The previous prime is 10834676536319. The next prime is 10834676536339. The reversal of 10834676536320 is 2363567643801.

10834676536320 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 4 + 6 + 76 + 536 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 349505694705 + ... + 349505694735.

Almost surely, 2^{10834676536320} is an apocalyptic number.

10834676536320 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 10834676536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25275750743040).

10834676536320 is an abundant number, since it is smaller than the sum of its proper divisors (39716824949760).

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

10834676536320 is an frugal number, since it uses more digits than its factorization.

10834676536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 10834676536320 in words is "ten trillion, eight hundred thirty-four billion, six hundred seventy-six million, five hundred thirty-six thousand, three hundred twenty".