25595792640 has 432 divisors, whose sum is σ = 100201098816. Its totient is φ = 6204211200.

The previous prime is 25595792633. The next prime is 25595792641. The reversal of 25595792640 is 4629759552.

25595792640 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 579 + 2 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25595792641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3417700 + ... + 3425180.

It is an arithmetic number, because the mean of its divisors is an integer number (231946988).

Almost surely, 2^25595792640 is an apocalyptic number.

25595792640 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 25595792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50100549408).

25595792640 is an abundant number, since it is smaller than the sum of its proper divisors (74605306176).

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

25595792640 is an equidigital number, since it uses as much as digits as its factorization.

25595792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7528 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 25595792640 in words is "twenty-five billion, five hundred ninety-five million, seven hundred ninety-two thousand, six hundred forty".