5379123508416 has 336 divisors, whose sum is σ = 18400115681280. Its totient is φ = 1536502141440.

The previous prime is 5379123508327. The next prime is 5379123508463. The reversal of 5379123508416 is 6148053219735.

It is a happy number.

5379123508416 is a `hidden beast` number, since 5 + 3 + 7 + 9 + 123 + 508 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 577712401 + ... + 577721711.

It is a 1-persistent number, because it is pandigital, but 2⋅5379123508416 = 10758247016832 is not.

Almost surely, 2^{5379123508416} is an apocalyptic number.

5379123508416 is a gapful number since it is divisible by the number (56) 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 5379123508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9200057840640).

5379123508416 is an abundant number, since it is smaller than the sum of its proper divisors (13020992172864).

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

5379123508416 is a wasteful number, since it uses less digits than its factorization.

5379123508416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16169 (or 16146 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5379123508416 in words is "five trillion, three hundred seventy-nine billion, one hundred twenty-three million, five hundred eight thousand, four hundred sixteen".