2625225269760 has 720 divisors, whose sum is σ = 10013529075264. Its totient is φ = 634333151232.

The previous prime is 2625225269759. The next prime is 2625225269809. The reversal of 2625225269760 is 679625225262.

2625225269760 is a `hidden beast` number, since 2 + 6 + 2 + 5 + 22 + 526 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 2625225269697 and 2625225269706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191294259 + ... + 191307981.

Almost surely, 2^{2625225269760} is an apocalyptic number.

2625225269760 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 2625225269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006764537632).

2625225269760 is an abundant number, since it is smaller than the sum of its proper divisors (7388303805504).

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

2625225269760 is a wasteful number, since it uses less digits than its factorization.

2625225269760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13813 (or 13775 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 2625225269760 in words is "two trillion, six hundred twenty-five billion, two hundred twenty-five million, two hundred sixty-nine thousand, seven hundred sixty".