10687852800 has 540 divisors, whose sum is σ = 40366986660. Its totient is φ = 2789130240.

The previous prime is 10687852789. The next prime is 10687852801. The reversal of 10687852800 is 825878601.

It can be written as a sum of positive squares in 6 ways, for example, as 293642496 + 10394210304 = 17136^2 + 101952^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×10687852800² (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 not an unprimeable number, because it can be changed into a prime (10687852801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27475006 + ... + 27475394.

It is an arithmetic number, because the mean of its divisors is an integer number (74753679).

Almost surely, 2^10687852800 is an apocalyptic number.

10687852800 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 10687852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20183493330).

10687852800 is an abundant number, since it is smaller than the sum of its proper divisors (29679133860).

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

10687852800 is an equidigital number, since it uses as much as digits as its factorization.

10687852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10687852800 in words is "ten billion, six hundred eighty-seven million, eight hundred fifty-two thousand, eight hundred".