10134369732960 has 864 divisors, whose sum is σ = 38330940735360. Its totient is φ = 2436393738240.

The previous prime is 10134369732959. The next prime is 10134369733001. The reversal of 10134369732960 is 6923796343101.

10134369732960 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 436 + 97 + 32 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10134369732897 and 10134369732906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16532413614 + ... + 16532414226.

It is an arithmetic number, because the mean of its divisors is an integer number (44364514740).

Almost surely, 2^{10134369732960} is an apocalyptic number.

10134369732960 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 10134369732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19165470367680).

10134369732960 is an abundant number, since it is smaller than the sum of its proper divisors (28196571002400).

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

10134369732960 is a wasteful number, since it uses less digits than its factorization.

10134369732960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 10134369732960 in words is "ten trillion, one hundred thirty-four billion, three hundred sixty-nine million, seven hundred thirty-two thousand, nine hundred sixty".