5196179936640 has 2304 divisors, whose sum is σ = 22507179125760. Its totient is φ = 997588500480.

The previous prime is 5196179936603. The next prime is 5196179936641. The reversal of 5196179936640 is 466399716915.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5196179936641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31114849837 + ... + 31114850003.

It is an arithmetic number, because the mean of its divisors is an integer number (9768740940).

Almost surely, 2^{5196179936640} 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 5196179936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11253589562880).

5196179936640 is an abundant number, since it is smaller than the sum of its proper divisors (17310999189120).

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

5196179936640 is a wasteful number, since it uses less digits than its factorization.

5196179936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 66.

The spelling of 5196179936640 in words is "five trillion, one hundred ninety-six billion, one hundred seventy-nine million, nine hundred thirty-six thousand, six hundred forty".