10724711376960 has 1008 divisors, whose sum is σ = 43938654824064. Its totient is φ = 2442349780992.

The previous prime is 10724711376943. The next prime is 10724711376983. The reversal of 10724711376960 is 6967311742701.

10724711376960 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 471 + 13 + 76 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 10724711376897 and 10724711376906.

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, 4511867292 + ... + 4511869668.

Almost surely, 2^{10724711376960} is an apocalyptic number.

10724711376960 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 10724711376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21969327412032).

10724711376960 is an abundant number, since it is smaller than the sum of its proper divisors (33213943447104).

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

10724711376960 is an frugal number, since it uses more digits than its factorization.

10724711376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 10724711376960 in words is "ten trillion, seven hundred twenty-four billion, seven hundred eleven million, three hundred seventy-six thousand, nine hundred sixty".