25102400114000 has 160 divisors (see below), whose sum is σ = 66227970781440. Its totient is φ = 9126435648000.

The previous prime is 25102400113969. The next prime is 25102400114003. The reversal of 25102400114000 is 41100420152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25102400114003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120433874 + ... + 120642126.

It is an arithmetic number, because the mean of its divisors is an integer number (413924817384).

Almost surely, 2^{25102400114000} is an apocalyptic number.

25102400114000 is a gapful number since it is divisible by the number (20) 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 25102400114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33113985390720).

25102400114000 is an abundant number, since it is smaller than the sum of its proper divisors (41125570667440).

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

25102400114000 is a wasteful number, since it uses less digits than its factorization.

25102400114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213766 (or 213750 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 25102400114000 its reverse (41100420152), we get a palindrome (25143500534152).

The spelling of 25102400114000 in words is "twenty-five trillion, one hundred two billion, four hundred million, one hundred fourteen thousand".