10526864440 has 64 divisors (see below), whose sum is σ = 25098789600. Its totient is φ = 3959881728.

The previous prime is 10526864377. The next prime is 10526864441. The reversal of 10526864440 is 4446862501.

10526864440 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 2×10526864440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 10526864393 and 10526864402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10526864441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952627 + ... + 963613.

Almost surely, 2^10526864440 is an apocalyptic number.

10526864440 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 10526864440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12549394800).

10526864440 is an abundant number, since it is smaller than the sum of its proper divisors (14571925160).

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

10526864440 is a wasteful number, since it uses less digits than its factorization.

10526864440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12424 (or 12420 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 10526864440 in words is "ten billion, five hundred twenty-six million, eight hundred sixty-four thousand, four hundred forty".