25903463040 has 1920 divisors, whose sum is σ = 127310198400. Its totient is φ = 4873125888.

The previous prime is 25903462979. The next prime is 25903463051. The reversal of 25903463040 is 4036430952.

25903463040 is a `hidden beast` number, since 2 + 5 + 9 + 0 + 346 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 25903462986 and 25903463004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1363340151 + ... + 1363340169.

It is an arithmetic number, because the mean of its divisors is an integer number (66307395).

Almost surely, 2^25903463040 is an apocalyptic number.

25903463040 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 25903463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63655099200).

25903463040 is an abundant number, since it is smaller than the sum of its proper divisors (101406735360).

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

25903463040 is a wasteful number, since it uses less digits than its factorization.

25903463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 25903463040 its reverse (4036430952), we get a palindrome (29939893992).

The spelling of 25903463040 in words is "twenty-five billion, nine hundred three million, four hundred sixty-three thousand, forty".