10815508800 has 420 divisors, whose sum is σ = 42102199260. Its totient is φ = 2713927680.

The previous prime is 10815508741. The next prime is 10815508807. The reversal of 10815508800 is 880551801.

It can be written as a sum of positive squares in 6 ways, for example, as 1311598656 + 9503910144 = 36216^2 + 97488^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10815508807) 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, 2200746 + ... + 2205654.

Almost surely, 2^10815508800 is an apocalyptic number.

10815508800 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 10815508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051099630).

10815508800 is an abundant number, since it is smaller than the sum of its proper divisors (31286690460).

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

10815508800 is a wasteful number, since it uses less digits than its factorization.

10815508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4960 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The spelling of 10815508800 in words is "ten billion, eight hundred fifteen million, five hundred eight thousand, eight hundred".