5979542016 has 320 divisors, whose sum is σ = 19107348480. Its totient is φ = 1625702400.

The previous prime is 5979541993. The next prime is 5979542017. The reversal of 5979542016 is 6102459795.

It is a super-2 number, since 2×5979542016² = 71509845442218688512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (5979542017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39599541 + ... + 39599691.

It is an arithmetic number, because the mean of its divisors is an integer number (59710464).

Almost surely, 2^5979542016 is an apocalyptic number.

5979542016 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 5979542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9553674240).

5979542016 is an abundant number, since it is smaller than the sum of its proper divisors (13127806464).

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

5979542016 is a wasteful number, since it uses less digits than its factorization.

5979542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 5979542016 is about 77327.4984465423. The cubic root of 5979542016 is about 1815.0529842086.

The spelling of 5979542016 in words is "five billion, nine hundred seventy-nine million, five hundred forty-two thousand, sixteen".