5907005002080 has 2688 divisors, whose sum is σ = 26903266387200. Its totient is φ = 1199003959296.

The previous prime is 5907005002061. The next prime is 5907005002103. The reversal of 5907005002080 is 802005007095.

5907005002080 is a `hidden beast` number, since 5 + 9 + 0 + 70 + 0 + 500 + 2 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 66370842676 + ... + 66370842764.

It is an arithmetic number, because the mean of its divisors is an integer number (10008655650).

Almost surely, 2^{5907005002080} 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 5907005002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13451633193600).

5907005002080 is an abundant number, since it is smaller than the sum of its proper divisors (20996261385120).

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

5907005002080 is an equidigital number, since it uses as much as digits as its factorization.

5907005002080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 5907005002080 in words is "five trillion, nine hundred seven billion, five million, two thousand, eighty".