25263435120 has 960 divisors, whose sum is σ = 107406458880. Its totient is φ = 4790016000.

The previous prime is 25263435077. The next prime is 25263435137. The reversal of 25263435120 is 2153436252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119731815 + ... + 119732025.

It is an arithmetic number, because the mean of its divisors is an integer number (111881728).

Almost surely, 2^25263435120 is an apocalyptic number.

25263435120 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 25263435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53703229440).

25263435120 is an abundant number, since it is smaller than the sum of its proper divisors (82143023760).

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

25263435120 is a wasteful number, since it uses less digits than its factorization.

25263435120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 25263435120 in words is "twenty-five billion, two hundred sixty-three million, four hundred thirty-five thousand, one hundred twenty".