5179077585900 has 864 divisors, whose sum is σ = 18176307641856. Its totient is φ = 1227571200000.

The previous prime is 5179077585881. The next prime is 5179077585907. The reversal of 5179077585900 is 95857709715.

It is not an unprimeable number, because it can be changed into a prime (5179077585907) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 3497013160 + ... + 3497014640.

It is an arithmetic number, because the mean of its divisors is an integer number (21037393104).

Almost surely, 2^{5179077585900} is an apocalyptic number.

5179077585900 is a gapful number since it is divisible by the number (50) 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 5179077585900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9088153820928).

5179077585900 is an abundant number, since it is smaller than the sum of its proper divisors (12997230055956).

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

5179077585900 is a wasteful number, since it uses less digits than its factorization.

5179077585900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 27783000, while the sum is 63.

The spelling of 5179077585900 in words is "five trillion, one hundred seventy-nine billion, seventy-seven million, five hundred eighty-five thousand, nine hundred".