10248855552 has 504 divisors, whose sum is σ = 34784582196. Its totient is φ = 2887778304.

The previous prime is 10248855541. The next prime is 10248855553. The reversal of 10248855552 is 25555884201.

10248855552 is a `hidden beast` number, since 1 + 0 + 2 + 48 + 8 + 55 + 552 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8247545856 + 2001309696 = 90816^2 + 44736^2 .

It is a super-2 number, since 2×10248855552² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10248855498 and 10248855507.

It is not an unprimeable number, because it can be changed into a prime (10248855553) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 276996078 + ... + 276996114.

Almost surely, 2^10248855552 is an apocalyptic number.

10248855552 is a gapful number since it is divisible by the number (12) 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 10248855552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17392291098).

10248855552 is an abundant number, since it is smaller than the sum of its proper divisors (24535726644).

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

10248855552 is a wasteful number, since it uses less digits than its factorization.

10248855552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 45.

It can be divided in two parts, 1024 and 8855552, that added together give a square (8856576 = 2976²).

The spelling of 10248855552 in words is "ten billion, two hundred forty-eight million, eight hundred fifty-five thousand, five hundred fifty-two".