10240528090752 has 256 divisors, whose sum is σ = 31134288240000. Its totient is φ = 3311741583360.

The previous prime is 10240528090721. The next prime is 10240528090783. The reversal of 10240528090752 is 25709082504201.

10240528090752 is a `hidden beast` number, since 10 + 2 + 40 + 528 + 0 + 9 + 0 + 75 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10240528090721) and next prime (10240528090783).

It is a junction number, because it is equal to n+sod(n) for n = 10240528090698 and 10240528090707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21911352 + ... + 22373832.

Almost surely, 2^{10240528090752} is an apocalyptic number.

10240528090752 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 10240528090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567144120000).

10240528090752 is an abundant number, since it is smaller than the sum of its proper divisors (20893760149248).

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

10240528090752 is a wasteful number, since it uses less digits than its factorization.

10240528090752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462696 (or 462678 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10240528090752 in words is "ten trillion, two hundred forty billion, five hundred twenty-eight million, ninety thousand, seven hundred fifty-two".