10247281026552 has 96 divisors (see below), whose sum is σ = 29402354479680. Its totient is φ = 3212998686720.

The previous prime is 10247281026487. The next prime is 10247281026677. The reversal of 10247281026552 is 25562018274201.

10247281026552 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 72 + 8 + 1 + 0 + 26 + 552 = 666.

10247281026552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10247281026552² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10247281026498 and 10247281026507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242224 + ... + 4533567.

It is an arithmetic number, because the mean of its divisors is an integer number (306274525830).

Almost surely, 2^{10247281026552} is an apocalyptic number.

10247281026552 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 10247281026552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14701177239840).

10247281026552 is an abundant number, since it is smaller than the sum of its proper divisors (19155073453128).

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

10247281026552 is a wasteful number, since it uses less digits than its factorization.

10247281026552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4777573 (or 4777566 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 10247281026552 in words is "ten trillion, two hundred forty-seven billion, two hundred eighty-one million, twenty-six thousand, five hundred fifty-two".