25645937040 has 320 divisors, whose sum is σ = 93903513600. Its totient is φ = 6415013376.

The previous prime is 25645937039. The next prime is 25645937081. The reversal of 25645937040 is 4073954652.

25645937040 is a `hidden beast` number, since 2 + 56 + 4 + 593 + 7 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4224087 + ... + 4230153.

It is an arithmetic number, because the mean of its divisors is an integer number (293448480).

Almost surely, 2^25645937040 is an apocalyptic number.

25645937040 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 25645937040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46951756800).

25645937040 is an abundant number, since it is smaller than the sum of its proper divisors (68257576560).

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

25645937040 is a wasteful number, since it uses less digits than its factorization.

25645937040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211 (or 6199 counting only the distinct ones).

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

The spelling of 25645937040 in words is "twenty-five billion, six hundred forty-five million, nine hundred thirty-seven thousand, forty".