5176979619840 has 1440 divisors, whose sum is σ = 21793784126400. Its totient is φ = 1155790798848.

The previous prime is 5176979619829. The next prime is 5176979619841. The reversal of 5176979619840 is 489169796715.

5176979619840 is a `hidden beast` number, since 517 + 6 + 9 + 7 + 9 + 61 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5176979619840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5176979619841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120394874859 + ... + 120394874901.

It is an arithmetic number, because the mean of its divisors is an integer number (15134572310).

Almost surely, 2^{5176979619840} 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 5176979619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10896892063200).

5176979619840 is an abundant number, since it is smaller than the sum of its proper divisors (16616804506560).

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

5176979619840 is an frugal number, since it uses more digits than its factorization.

5176979619840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 5176979619840 in words is "five trillion, one hundred seventy-six billion, nine hundred seventy-nine million, six hundred nineteen thousand, eight hundred forty".