6125775216 has 80 divisors (see below), whose sum is σ = 17290202880. Its totient is φ = 1853429760.

The previous prime is 6125775203. The next prime is 6125775251.

It is a happy number.

6125775216 is nontrivially palindromic in base 10.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 346725 + ... + 363963.

It is an arithmetic number, because the mean of its divisors is an integer number (216127536).

Almost surely, 2^6125775216 is an apocalyptic number.

6125775216 is a gapful number since it is divisible by the number (66) 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 6125775216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8645101440).

6125775216 is an abundant number, since it is smaller than the sum of its proper divisors (11164427664).

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

6125775216 is a wasteful number, since it uses less digits than its factorization.

6125775216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17934 (or 17928 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The square root of 6125775216 is about 78267.3317291448. The cubic root of 6125775216 is about 1829.7300422949.

The spelling of 6125775216 in words is "six billion, one hundred twenty-five million, seven hundred seventy-five thousand, two hundred sixteen".