10648530508800 has 264 divisors, whose sum is σ = 36407539969200. Its totient is φ = 2741690040320.

The previous prime is 10648530508757. The next prime is 10648530508883. The reversal of 10648530508800 is 880503584601.

It is a super-2 number, since 2×10648530508800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10648530508800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163365 + ... + 4617764.

Almost surely, 2^{10648530508800} is an apocalyptic number.

10648530508800 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 10648530508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203769984600).

10648530508800 is an abundant number, since it is smaller than the sum of its proper divisors (25759009460400).

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

10648530508800 is a wasteful number, since it uses less digits than its factorization.

10648530508800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4781191 (or 4781168 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 10648530508800 in words is "ten trillion, six hundred forty-eight billion, five hundred thirty million, five hundred eight thousand, eight hundred".