2505662595072 has 1836 divisors, whose sum is σ = 9953227655280. Its totient is φ = 626053349376.

The previous prime is 2505662595017. The next prime is 2505662595083. The reversal of 2505662595072 is 2705952665052.

2505662595072 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 6 + 625 + 9 + 5 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 131876978679 + ... + 131876978697.

Almost surely, 2^{2505662595072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2505662595072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976613827640).

2505662595072 is an abundant number, since it is smaller than the sum of its proper divisors (7447565060208).

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

2505662595072 is an frugal number, since it uses more digits than its factorization.

2505662595072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 2505662595072 in words is "two trillion, five hundred five billion, six hundred sixty-two million, five hundred ninety-five thousand, seventy-two".