2505129984000 has 1152 divisors, whose sum is σ = 10599804633600. Its totient is φ = 571893350400.

The previous prime is 2505129983989. The next prime is 2505129984001. The reversal of 2505129984000 is 4899215052.

It is a happy number.

2505129984000 is a `hidden beast` number, since 2 + 5 + 0 + 512 + 9 + 98 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2505129984001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3096575596 + ... + 3096576404.

It is an arithmetic number, because the mean of its divisors is an integer number (9201219300).

Almost surely, 2^{2505129984000} is an apocalyptic number.

2505129984000 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 2505129984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299902316800).

2505129984000 is an abundant number, since it is smaller than the sum of its proper divisors (8094674649600).

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

2505129984000 is an frugal number, since it uses more digits than its factorization.

2505129984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 2505129984000 in words is "two trillion, five hundred five billion, one hundred twenty-nine million, nine hundred eighty-four thousand".