10096713768960 has 4032 divisors, whose sum is σ = 48295049886720. Its totient is φ = 1926317998080.

The previous prime is 10096713768919. The next prime is 10096713768961. The reversal of 10096713768960 is 6986731769001.

10096713768960 is a `hidden beast` number, since 100 + 9 + 6 + 71 + 376 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10096713768961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 138311147484 + ... + 138311147556.

It is an arithmetic number, because the mean of its divisors is an integer number (11977938960).

Almost surely, 2^{10096713768960} is an apocalyptic number.

10096713768960 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 10096713768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24147524943360).

10096713768960 is an abundant number, since it is smaller than the sum of its proper divisors (38198336117760).

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

10096713768960 is a wasteful number, since it uses less digits than its factorization.

10096713768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 10096713768960 in words is "ten trillion, ninety-six billion, seven hundred thirteen million, seven hundred sixty-eight thousand, nine hundred sixty".