6520166253600 has 288 divisors, whose sum is σ = 21477726337536. Its totient is φ = 1717914009600.

The previous prime is 6520166253467. The next prime is 6520166253617. The reversal of 6520166253600 is 63526610256.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141286530 + ... + 141332670.

It is an arithmetic number, because the mean of its divisors is an integer number (74575438672).

Almost surely, 2^{6520166253600} is an apocalyptic number.

6520166253600 is a gapful number since it is divisible by the number (60) 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 6520166253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10738863168768).

6520166253600 is an abundant number, since it is smaller than the sum of its proper divisors (14957560083936).

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

6520166253600 is a wasteful number, since it uses less digits than its factorization.

6520166253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46868 (or 46855 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 6520166253600 in words is "six trillion, five hundred twenty billion, one hundred sixty-six million, two hundred fifty-three thousand, six hundred".