10252860000 has 120 divisors (see below), whose sum is σ = 33631628184. Its totient is φ = 2734080000.

The previous prime is 10252859993. The next prime is 10252860031. The reversal of 10252860000 is 6825201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×10252860000³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25441 + ... + 145440.

Almost surely, 2^10252860000 is an apocalyptic number.

10252860000 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 10252860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16815814092).

10252860000 is an abundant number, since it is smaller than the sum of its proper divisors (23378768184).

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

10252860000 is an equidigital number, since it uses as much as digits as its factorization.

10252860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170914 (or 170891 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 10252860000 in words is "ten billion, two hundred fifty-two million, eight hundred sixty thousand".