2505315991680 has 192 divisors, whose sum is σ = 8657525073600. Its totient is φ = 667593443328.

The previous prime is 2505315991663. The next prime is 2505315991699. The reversal of 2505315991680 is 861995135052.

2505315991680 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 31 + 599 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7714831 + ... + 8033009.

It is an arithmetic number, because the mean of its divisors is an integer number (45091276425).

Almost surely, 2^{2505315991680} is an apocalyptic number.

2505315991680 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 2505315991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328762536800).

2505315991680 is an abundant number, since it is smaller than the sum of its proper divisors (6152209081920).

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

2505315991680 is a wasteful number, since it uses less digits than its factorization.

2505315991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319571 (or 319556 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 2505315991680 in words is "two trillion, five hundred five billion, three hundred fifteen million, nine hundred ninety-one thousand, six hundred eighty".