5179096406016 has 288 divisors, whose sum is σ = 16612666434000. Its totient is φ = 1593565249536.

The previous prime is 5179096406009. The next prime is 5179096406059. The reversal of 5179096406016 is 6106046909715.

It is a happy number.

5179096406016 is a `hidden beast` number, since 51 + 7 + 90 + 96 + 406 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9067920 + ... + 9622128.

Almost surely, 2^{5179096406016} 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 5179096406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8306333217000).

5179096406016 is an abundant number, since it is smaller than the sum of its proper divisors (11433570027984).

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

5179096406016 is a wasteful number, since it uses less digits than its factorization.

5179096406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554266 (or 554227 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 5179096406016 in words is "five trillion, one hundred seventy-nine billion, ninety-six million, four hundred six thousand, sixteen".