25601760219420 has 2304 divisors, whose sum is σ = 116787209011200. Its totient is φ = 4536665210880.

The previous prime is 25601760219391. The next prime is 25601760219421. The reversal of 25601760219420 is 2491206710652.

25601760219420 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 1 + 7 + 6 + 0 + 219 + 420 = 666.

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 (25601760219421) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2780075776 + ... + 2780084984.

It is an arithmetic number, because the mean of its divisors is an integer number (50688892800).

Almost surely, 2^{25601760219420} is an apocalyptic number.

25601760219420 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 25601760219420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58393604505600).

25601760219420 is an abundant number, since it is smaller than the sum of its proper divisors (91185448791780).

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

25601760219420 is a wasteful number, since it uses less digits than its factorization.

25601760219420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9310 (or 9296 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 25601760219420 in words is "twenty-five trillion, six hundred one billion, seven hundred sixty million, two hundred nineteen thousand, four hundred twenty".