10526338368 has 672 divisors, whose sum is σ = 39597909120. Its totient is φ = 2717245440.

The previous prime is 10526338357. The next prime is 10526338457. The reversal of 10526338368 is 86383362501.

10526338368 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 633 + 8 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10526338368² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80353663 + ... + 80353793.

It is an arithmetic number, because the mean of its divisors is an integer number (58925460).

Almost surely, 2^10526338368 is an apocalyptic number.

10526338368 is a gapful number since it is divisible by the number (18) 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 10526338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19798954560).

10526338368 is an abundant number, since it is smaller than the sum of its proper divisors (29071570752).

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

10526338368 is a wasteful number, since it uses less digits than its factorization.

10526338368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 10526338368 in words is "ten billion, five hundred twenty-six million, three hundred thirty-eight thousand, three hundred sixty-eight".