25946375040 has 384 divisors, whose sum is σ = 92976998400. Its totient is φ = 6660403200.

The previous prime is 25946375029. The next prime is 25946375041. The reversal of 25946375040 is 4057364952.

25946375040 is a `hidden beast` number, since 2 + 5 + 9 + 4 + 637 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25946375041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59103141 + ... + 59103579.

It is an arithmetic number, because the mean of its divisors is an integer number (242127600).

Almost surely, 2^25946375040 is an apocalyptic number.

25946375040 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 25946375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46488499200).

25946375040 is an abundant number, since it is smaller than the sum of its proper divisors (67030623360).

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

25946375040 is a wasteful number, since it uses less digits than its factorization.

25946375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 25946375040 in words is "twenty-five billion, nine hundred forty-six million, three hundred seventy-five thousand, forty".