10536795360 has 768 divisors, whose sum is σ = 46400256000. Its totient is φ = 2219083776.

The previous prime is 10536795349. The next prime is 10536795371. The reversal of 10536795360 is 6359763501.

10536795360 is a `hidden beast` number, since 1 + 0 + 53 + 67 + 9 + 536 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10536795349) and next prime (10536795371).

It is a super-2 number, since 2×10536795360² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19262607 + ... + 19263153.

It is an arithmetic number, because the mean of its divisors is an integer number (60417000).

Almost surely, 2^10536795360 is an apocalyptic number.

10536795360 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 10536795360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23200128000).

10536795360 is an abundant number, since it is smaller than the sum of its proper divisors (35863460640).

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

10536795360 is a wasteful number, since it uses less digits than its factorization.

10536795360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 577 counting only the distinct ones).

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

The spelling of 10536795360 in words is "ten billion, five hundred thirty-six million, seven hundred ninety-five thousand, three hundred sixty".