25034315040 has 288 divisors, whose sum is σ = 101879721216. Its totient is φ = 5473290240.

The previous prime is 25034315029. The next prime is 25034315041. The reversal of 25034315040 is 4051343052.

25034315040 is a `hidden beast` number, since 2 + 503 + 4 + 3 + 150 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 25034314995 and 25034315013.

It is not an unprimeable number, because it can be changed into a prime (25034315041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177850 + ... + 285830.

It is an arithmetic number, because the mean of its divisors is an integer number (353749032).

Almost surely, 2^25034315040 is an apocalyptic number.

25034315040 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 25034315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50939860608).

25034315040 is an abundant number, since it is smaller than the sum of its proper divisors (76845406176).

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

25034315040 is a wasteful number, since it uses less digits than its factorization.

25034315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108032 (or 108021 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 25034315040 its reverse (4051343052), we get a palindrome (29085658092).

The spelling of 25034315040 in words is "twenty-five billion, thirty-four million, three hundred fifteen thousand, forty".