25778975040 has 1344 divisors, whose sum is σ = 119290429440. Its totient is φ = 4956733440.

The previous prime is 25778974997. The next prime is 25778975041. The reversal of 25778975040 is 4057987752.

It is a happy number.

25778975040 is a `hidden beast` number, since 2 + 57 + 7 + 89 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×25778975040² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25778975041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 154365037 + ... + 154365203.

It is an arithmetic number, because the mean of its divisors is an integer number (88757760).

Almost surely, 2^25778975040 is an apocalyptic number.

25778975040 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 25778975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59645214720).

25778975040 is an abundant number, since it is smaller than the sum of its proper divisors (93511454400).

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

25778975040 is a wasteful number, since it uses less digits than its factorization.

25778975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 25778975040 in words is "twenty-five billion, seven hundred seventy-eight million, nine hundred seventy-five thousand, forty".