25820420423040 has 256 divisors, whose sum is σ = 94397237913600. Its totient is φ = 6663334164480.

The previous prime is 25820420422969. The next prime is 25820420423041. The reversal of 25820420423040 is 4032402402852.

25820420423040 is a `hidden beast` number, since 2 + 5 + 8 + 204 + 20 + 423 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×25820420423040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25820420422986 and 25820420423004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25820420423041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23564922 + ... + 24636281.

It is an arithmetic number, because the mean of its divisors is an integer number (368739210600).

Almost surely, 2^{25820420423040} is an apocalyptic number.

25820420423040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25820420423040 is an abundant number, since it is smaller than the sum of its proper divisors (68576817490560).

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

25820420423040 is a wasteful number, since it uses less digits than its factorization.

25820420423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48201262 (or 48201244 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 25820420423040 its reverse (4032402402852), we get a palindrome (29852822825892).

The spelling of 25820420423040 in words is "twenty-five trillion, eight hundred twenty billion, four hundred twenty million, four hundred twenty-three thousand, forty".