25123025610540 has 384 divisors, whose sum is σ = 92097524413440. Its totient is φ = 5605247692800.

The previous prime is 25123025610517. The next prime is 25123025610547. The reversal of 25123025610540 is 4501652032152.

25123025610540 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 30 + 2 + 5 + 610 + 5 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25123025610495 and 25123025610504.

It is not an unprimeable number, because it can be changed into a prime (25123025610547) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25540435 + ... + 26505845.

It is an arithmetic number, because the mean of its divisors is an integer number (239837303160).

Almost surely, 2^{25123025610540} is an apocalyptic number.

25123025610540 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 25123025610540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46048762206720).

25123025610540 is an abundant number, since it is smaller than the sum of its proper divisors (66974498802900).

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

25123025610540 is a wasteful number, since it uses less digits than its factorization.

25123025610540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965790 (or 965782 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 25123025610540 its reverse (4501652032152), we get a palindrome (29624677642692).

The spelling of 25123025610540 in words is "twenty-five trillion, one hundred twenty-three billion, twenty-five million, six hundred ten thousand, five hundred forty".