10536960000 has 600 divisors, whose sum is σ = 40945643200. Its totient is φ = 2408448000.

The previous prime is 10536959981. The next prime is 10536960041. The reversal of 10536960000 is 6963501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×10536960000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 10536960000.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2800 × 1680 × 2240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1505279997 + ... + 1505280003.

Almost surely, 2^10536960000 is an apocalyptic number.

10536960000 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 10536960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20472821600).

10536960000 is an abundant number, since it is smaller than the sum of its proper divisors (30408683200).

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

10536960000 is an frugal number, since it uses more digits than its factorization.

10536960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The spelling of 10536960000 in words is "ten billion, five hundred thirty-six million, nine hundred sixty thousand".