5174722560000 has 960 divisors, whose sum is σ = 20126215549440. Its totient is φ = 1157627904000.

The previous prime is 5174722559989. The next prime is 5174722560017. The reversal of 5174722560000 is 652274715.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 110100479977 + ... + 110100480023.

It is an arithmetic number, because the mean of its divisors is an integer number (20964807864).

Almost surely, 2^{5174722560000} is an apocalyptic number.

5174722560000 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 5174722560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063107774720).

5174722560000 is an abundant number, since it is smaller than the sum of its proper divisors (14951492989440).

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

5174722560000 is an frugal number, since it uses more digits than its factorization.

5174722560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 5174722560000 in words is "five trillion, one hundred seventy-four billion, seven hundred twenty-two million, five hundred sixty thousand".