5177611321344 has 1360 divisors, whose sum is σ = 19731868738560. Its totient is φ = 1313939128320.

The previous prime is 5177611321303. The next prime is 5177611321367. The reversal of 5177611321344 is 4431231167715.

5177611321344 is a `hidden beast` number, since 5 + 1 + 7 + 7 + 611 + 3 + 21 + 3 + 4 + 4 = 666.

Its product of digits (423360) is a multiple of the sum of its prime divisors (315).

It is a self number, because there is not a number n which added to its sum of digits gives 5177611321344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21663645577 + ... + 21663645815.

Almost surely, 2^{5177611321344} is an apocalyptic number.

5177611321344 is a gapful number since it is divisible by the number (54) 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 5177611321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865934369280).

5177611321344 is an abundant number, since it is smaller than the sum of its proper divisors (14554257417216).

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

5177611321344 is an equidigital number, since it uses as much as digits as its factorization.

5177611321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 315 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 5177611321344 in words is "five trillion, one hundred seventy-seven billion, six hundred eleven million, three hundred twenty-one thousand, three hundred forty-four".