2505466653000 has 192 divisors, whose sum is σ = 7925656377600. Its totient is φ = 658967846400.

The previous prime is 2505466652999. The next prime is 2505466653017. The reversal of 2505466653000 is 3566645052.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15908641 + ... + 16065359.

It is an arithmetic number, because the mean of its divisors is an integer number (41279460300).

Almost surely, 2^{2505466653000} is an apocalyptic number.

2505466653000 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 2505466653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962828188800).

2505466653000 is an abundant number, since it is smaller than the sum of its proper divisors (5420189724600).

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

2505466653000 is a wasteful number, since it uses less digits than its factorization.

2505466653000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156889 (or 156802 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 2505466653000 in words is "two trillion, five hundred five billion, four hundred sixty-six million, six hundred fifty-three thousand".