10712372559456 has 384 divisors, whose sum is σ = 30548882681856. Its totient is φ = 3277791221760.

The previous prime is 10712372559451. The next prime is 10712372559461. The reversal of 10712372559456 is 65495527321701.

10712372559456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10712372559451) and next prime (10712372559461).

It is a super-2 number, since 2×10712372559456² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10712372559396 and 10712372559405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10712372559451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6584124915 + ... + 6584126541.

It is an arithmetic number, because the mean of its divisors is an integer number (79554381984).

Almost surely, 2^{10712372559456} is an apocalyptic number.

10712372559456 is a gapful number since it is divisible by the number (16) 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 10712372559456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15274441340928).

10712372559456 is an abundant number, since it is smaller than the sum of its proper divisors (19836510122400).

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

10712372559456 is a wasteful number, since it uses less digits than its factorization.

10712372559456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 57.

The spelling of 10712372559456 in words is "ten trillion, seven hundred twelve billion, three hundred seventy-two million, five hundred fifty-nine thousand, four hundred fifty-six".