25242012000 has 288 divisors, whose sum is σ = 90305639424. Its totient is φ = 6676992000.

The previous prime is 25242011953. The next prime is 25242012013. The reversal of 25242012000 is 21024252.

25242012000 is a `hidden beast` number, since 2 + 524 + 20 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4569240 + ... + 4574760.

It is an arithmetic number, because the mean of its divisors is an integer number (313561248).

Almost surely, 2^25242012000 is an apocalyptic number.

25242012000 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 25242012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45152819712).

25242012000 is an abundant number, since it is smaller than the sum of its proper divisors (65063627424).

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

25242012000 is a wasteful number, since it uses less digits than its factorization.

25242012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 25242012000 its reverse (21024252), we get a palindrome (25263036252).

The spelling of 25242012000 in words is "twenty-five billion, two hundred forty-two million, twelve thousand".