25854407040 has 1024 divisors, whose sum is σ = 108573696000. Its totient is φ = 5184184320.

The previous prime is 25854407027. The next prime is 25854407069. The reversal of 25854407040 is 4070445852.

It is a self number, because there is not a number n which added to its sum of digits gives 25854407040.

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, 311498839 + ... + 311498921.

It is an arithmetic number, because the mean of its divisors is an integer number (106029000).

Almost surely, 2^25854407040 is an apocalyptic number.

25854407040 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 25854407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54286848000).

25854407040 is an abundant number, since it is smaller than the sum of its proper divisors (82719288960).

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

25854407040 is a wasteful number, since it uses less digits than its factorization.

25854407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The spelling of 25854407040 in words is "twenty-five billion, eight hundred fifty-four million, four hundred seven thousand, forty".