5179749120000 has 3360 divisors, whose sum is σ = 24273634825440. Its totient is φ = 1074954240000.

The previous prime is 5179749119953. The next prime is 5179749120043. The reversal of 5179749120000 is 219479715.

5179749120000 is a `hidden beast` number, since 51 + 7 + 97 + 491 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×5179749120000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 84913919970 + ... + 84913920030.

It is an arithmetic number, because the mean of its divisors is an integer number (7224296079).

Almost surely, 2^{5179749120000} is an apocalyptic number.

5179749120000 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 5179749120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12136817412720).

5179749120000 is an abundant number, since it is smaller than the sum of its proper divisors (19093885705440).

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

5179749120000 is an frugal number, since it uses more digits than its factorization.

5179749120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 5179749120000 in words is "five trillion, one hundred seventy-nine billion, seven hundred forty-nine million, one hundred twenty thousand".