10240234252000 has 96 divisors (see below), whose sum is σ = 25175098559520. Its totient is φ = 4093677260800.

The previous prime is 10240234251971. The next prime is 10240234252021. The reversal of 10240234252000 is 25243204201.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6033711 + ... + 7542289.

It is an arithmetic number, because the mean of its divisors is an integer number (262240609995).

Almost surely, 2^{10240234252000} is an apocalyptic number.

10240234252000 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 10240234252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12587549279760).

10240234252000 is an abundant number, since it is smaller than the sum of its proper divisors (14934864307520).

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

10240234252000 is a wasteful number, since it uses less digits than its factorization.

10240234252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510301 (or 1510283 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10240234252000 its reverse (25243204201), we get a palindrome (10265477456201).

The spelling of 10240234252000 in words is "ten trillion, two hundred forty billion, two hundred thirty-four million, two hundred fifty-two thousand".