10535736960 has 768 divisors, whose sum is σ = 45377107200. Its totient is φ = 2299207680.

The previous prime is 10535736947. The next prime is 10535736971. The reversal of 10535736960 is 6963753501.

10535736960 is a `hidden beast` number, since 10 + 5 + 3 + 573 + 6 + 9 + 60 = 666.

10535736960 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 2×10535736960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 19474290 + ... + 19474830.

It is an arithmetic number, because the mean of its divisors is an integer number (59084775).

Almost surely, 2^10535736960 is an apocalyptic number.

10535736960 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 10535736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22688553600).

10535736960 is an abundant number, since it is smaller than the sum of its proper divisors (34841370240).

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

10535736960 is a wasteful number, since it uses less digits than its factorization.

10535736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 10535736960 in words is "ten billion, five hundred thirty-five million, seven hundred thirty-six thousand, nine hundred sixty".