10724875523712 has 288 divisors, whose sum is σ = 35907968191680. Its totient is φ = 3063623980032.

The previous prime is 10724875523707. The next prime is 10724875523749. The reversal of 10724875523712 is 21732557842701.

10724875523712 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 4 + 87 + 552 + 3 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324164323 + ... + 324197405.

It is an arithmetic number, because the mean of its divisors is an integer number (124680445110).

Almost surely, 2^{10724875523712} is an apocalyptic number.

10724875523712 is a gapful number since it is divisible by the number (12) 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 10724875523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17953984095840).

10724875523712 is an abundant number, since it is smaller than the sum of its proper divisors (25183092667968).

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

10724875523712 is a wasteful number, since it uses less digits than its factorization.

10724875523712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38860 (or 38838 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 10724875523712 in words is "ten trillion, seven hundred twenty-four billion, eight hundred seventy-five million, five hundred twenty-three thousand, seven hundred twelve".