25229283840 has 600 divisors, whose sum is σ = 96219496692. Its totient is φ = 6317015040.

The previous prime is 25229283803. The next prime is 25229283853. The reversal of 25229283840 is 4838292252.

25229283840 is a `hidden beast` number, since 2 + 522 + 9 + 2 + 83 + 8 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9280624896 + 15948658944 = 96336^2 + 126288^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 59926830 + ... + 59927250.

Almost surely, 2^25229283840 is an apocalyptic number.

25229283840 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 25229283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48109748346).

25229283840 is an abundant number, since it is smaller than the sum of its proper divisors (70990212852).

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

25229283840 is an equidigital number, since it uses as much as digits as its factorization.

25229283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 25229283840 in words is "twenty-five billion, two hundred twenty-nine million, two hundred eighty-three thousand, eight hundred forty".