10526431680 has 224 divisors, whose sum is σ = 39089990400. Its totient is φ = 2659267584.

The previous prime is 10526431679. The next prime is 10526431693. The reversal of 10526431680 is 8613462501.

It is a happy number.

10526431680 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 643 + 1 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×10526431680² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 132099 + ... + 196221.

Almost surely, 2^10526431680 is an apocalyptic number.

10526431680 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 10526431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19544995200).

10526431680 is an abundant number, since it is smaller than the sum of its proper divisors (28563558720).

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

10526431680 is a wasteful number, since it uses less digits than its factorization.

10526431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64168 (or 64152 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10526431680 in words is "ten billion, five hundred twenty-six million, four hundred thirty-one thousand, six hundred eighty".