25163906040 has 512 divisors, whose sum is σ = 105206169600. Its totient is φ = 5208053760.

The previous prime is 25163906023. The next prime is 25163906041. The reversal of 25163906040 is 4060936152.

It is a happy number.

25163906040 is a `hidden beast` number, since 2 + 5 + 16 + 39 + 0 + 604 + 0 = 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 = 25163905986 and 25163906004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25163906041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5206425 + ... + 5211255.

It is an arithmetic number, because the mean of its divisors is an integer number (205480800).

Almost surely, 2^25163906040 is an apocalyptic number.

25163906040 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 25163906040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52603084800).

25163906040 is an abundant number, since it is smaller than the sum of its proper divisors (80042263560).

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

25163906040 is a wasteful number, since it uses less digits than its factorization.

25163906040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 25163906040 in words is "twenty-five billion, one hundred sixty-three million, nine hundred six thousand, forty".