25405501152240 has 320 divisors, whose sum is σ = 96252057331200. Its totient is φ = 6158908673280.

The previous prime is 25405501152221. The next prime is 25405501152257. The reversal of 25405501152240 is 4225110550452.

25405501152240 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 550 + 11 + 52 + 2 + 40 = 666.

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 = 25405501152195 and 25405501152204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1543450 + ... + 7293369.

It is an arithmetic number, because the mean of its divisors is an integer number (300787679160).

Almost surely, 2^{25405501152240} is an apocalyptic number.

25405501152240 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 25405501152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48126028665600).

25405501152240 is an abundant number, since it is smaller than the sum of its proper divisors (70846556178960).

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

25405501152240 is a wasteful number, since it uses less digits than its factorization.

25405501152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8836874 (or 8836840 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 25405501152240 in words is "twenty-five trillion, four hundred five billion, five hundred one million, one hundred fifty-two thousand, two hundred forty".