10252800000 has 468 divisors, whose sum is σ = 37433033820. Its totient is φ = 2703360000.

The previous prime is 10252799981. The next prime is 10252800001. The reversal of 10252800000 is 825201.

It can be written as a sum of positive squares in 6 ways, for example, as 9550761984 + 702038016 = 97728^2 + 26496^2 .

It is a super-3 number, since 3×10252800000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252800001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115199956 + ... + 115200044.

It is an arithmetic number, because the mean of its divisors is an integer number (79985115).

Almost surely, 2^10252800000 is an apocalyptic number.

10252800000 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 10252800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18716516910).

10252800000 is an abundant number, since it is smaller than the sum of its proper divisors (27180233820).

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

10252800000 is an frugal number, since it uses more digits than its factorization.

10252800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 10252800000 in words is "ten billion, two hundred fifty-two million, eight hundred thousand".