25290413460 has 384 divisors, whose sum is σ = 90978370560. Its totient is φ = 5776883712.

The previous prime is 25290413411. The next prime is 25290413501. The reversal of 25290413460 is 6431409252.

It is a happy number.

25290413460 is a `hidden beast` number, since 2 + 529 + 0 + 41 + 34 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8710369 + ... + 8713271.

It is an arithmetic number, because the mean of its divisors is an integer number (236922840).

Almost surely, 2^25290413460 is an apocalyptic number.

25290413460 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 25290413460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45489185280).

25290413460 is an abundant number, since it is smaller than the sum of its proper divisors (65687957100).

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

25290413460 is a wasteful number, since it uses less digits than its factorization.

25290413460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 25290413460 in words is "twenty-five billion, two hundred ninety million, four hundred thirteen thousand, four hundred sixty".