25464378240 has 1024 divisors, whose sum is σ = 109842739200. Its totient is φ = 5518098432.

The previous prime is 25464378223. The next prime is 25464378283. The reversal of 25464378240 is 4287346452.

It is a happy number.

25464378240 is a `hidden beast` number, since 254 + 6 + 4 + 378 + 24 + 0 = 666.

It is a super-3 number, since 3×25464378240³ (a number of 32 digits) contains 333 as substring.

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

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, 225348424 + ... + 225348536.

It is an arithmetic number, because the mean of its divisors is an integer number (107268300).

Almost surely, 2^25464378240 is an apocalyptic number.

25464378240 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 25464378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54921369600).

25464378240 is an abundant number, since it is smaller than the sum of its proper divisors (84378360960).

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

25464378240 is an equidigital number, since it uses as much as digits as its factorization.

25464378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 25464378240 in words is "twenty-five billion, four hundred sixty-four million, three hundred seventy-eight thousand, two hundred forty".