5146535680 has 288 divisors, whose sum is σ = 14966396928. Its totient is φ = 1669939200.

The previous prime is 5146535677. The next prime is 5146535689. The reversal of 5146535680 is 865356415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146535689) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5673787 + ... + 5674693.

It is an arithmetic number, because the mean of its divisors is an integer number (51966656).

Almost surely, 2^5146535680 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 5146535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483198464).

5146535680 is an abundant number, since it is smaller than the sum of its proper divisors (9819861248).

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

5146535680 is a wasteful number, since it uses less digits than its factorization.

5146535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 43.

The square root of 5146535680 is about 71739.3593503594. The cubic root of 5146535680 is about 1726.5201951519.

The spelling of 5146535680 in words is "five billion, one hundred forty-six million, five hundred thirty-five thousand, six hundred eighty".