25435795207680 has 960 divisors, whose sum is σ = 104129009816832. Its totient is φ = 5656886968320.

The previous prime is 25435795207663. The next prime is 25435795207777. The reversal of 25435795207680 is 8670259753452.

25435795207680 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 579 + 52 + 0 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 537015679 + ... + 537063041.

Almost surely, 2^{25435795207680} is an apocalyptic number.

25435795207680 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 25435795207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52064504908416).

25435795207680 is an abundant number, since it is smaller than the sum of its proper divisors (78693214609152).

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

25435795207680 is a wasteful number, since it uses less digits than its factorization.

25435795207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47579 (or 47560 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 25435795207680 in words is "twenty-five trillion, four hundred thirty-five billion, seven hundred ninety-five million, two hundred seven thousand, six hundred eighty".