25254532440 has 192 divisors, whose sum is σ = 84481263360. Its totient is φ = 6540145920.

The previous prime is 25254532439. The next prime is 25254532477. The reversal of 25254532440 is 4423545252.

25254532440 is a `hidden beast` number, since 2 + 52 + 545 + 3 + 24 + 40 = 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 = 25254532395 and 25254532404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1705147 + ... + 1719893.

It is an arithmetic number, because the mean of its divisors is an integer number (440006580).

Almost surely, 2^25254532440 is an apocalyptic number.

25254532440 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 25254532440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42240631680).

25254532440 is an abundant number, since it is smaller than the sum of its proper divisors (59226730920).

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

25254532440 is a wasteful number, since it uses less digits than its factorization.

25254532440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14902 (or 14895 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 25254532440 in words is "twenty-five billion, two hundred fifty-four million, five hundred thirty-two thousand, four hundred forty".