5977000016 has 80 divisors (see below), whose sum is σ = 12624348240. Its totient is φ = 2741207040.

The previous prime is 5976999997. The next prime is 5977000033. The reversal of 5977000016 is 6100007795.

It can be written as a sum of positive squares in 8 ways, for example, as 5519895616 + 457104400 = 74296^2 + 21380^2 .

It is a super-3 number, since 3×5977000016³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5977000016.

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 15 ways as a sum of consecutive naturals, for example, 6783896 + ... + 6784776.

It is an arithmetic number, because the mean of its divisors is an integer number (157804353).

Almost surely, 2^5977000016 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 5977000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6312174120).

5977000016 is an abundant number, since it is smaller than the sum of its proper divisors (6647348224).

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

5977000016 is a wasteful number, since it uses less digits than its factorization.

5977000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 35.

The square root of 5977000016 is about 77311.0601143200. The cubic root of 5977000016 is about 1814.7957449620.

The spelling of 5977000016 in words is "five billion, nine hundred seventy-seven million, sixteen", and thus it is an aban number.