2425525347960 has 1536 divisors, whose sum is σ = 10144382976000. Its totient is φ = 493608038400.

The previous prime is 2425525347953. The next prime is 2425525347983. The reversal of 2425525347960 is 697435255242.

2425525347960 is a `hidden beast` number, since 2 + 4 + 25 + 525 + 3 + 4 + 7 + 96 + 0 = 666.

2425525347960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2425525347960⁴ (a number of 51 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2425525347897 and 2425525347906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5063727001 + ... + 5063727479.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416000).

Almost surely, 2^{2425525347960} is an apocalyptic number.

2425525347960 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 2425525347960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072191488000).

2425525347960 is an abundant number, since it is smaller than the sum of its proper divisors (7718857628040).

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

2425525347960 is a wasteful number, since it uses less digits than its factorization.

2425525347960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 2425525347960 in words is "two trillion, four hundred twenty-five billion, five hundred twenty-five million, three hundred forty-seven thousand, nine hundred sixty".