10252140000 has 240 divisors, whose sum is σ = 33816237840. Its totient is φ = 2718720000.

The previous prime is 10252139999. The next prime is 10252140011. The reversal of 10252140000 is 4125201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14459646 + ... + 14460354.

It is an arithmetic number, because the mean of its divisors is an integer number (140900991).

Almost surely, 2^10252140000 is an apocalyptic number.

10252140000 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 10252140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16908118920).

10252140000 is an abundant number, since it is smaller than the sum of its proper divisors (23564097840).

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

10252140000 is an equidigital number, since it uses as much as digits as its factorization.

10252140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 10252140000 its reverse (4125201), we get a palindrome (10256265201).

The spelling of 10252140000 in words is "ten billion, two hundred fifty-two million, one hundred forty thousand".