5977676060800 has 192 divisors, whose sum is σ = 14946958724040. Its totient is φ = 2361979699200.

The previous prime is 5977676060743. The next prime is 5977676060801. The reversal of 5977676060800 is 80606767795.

It can be written as a sum of positive squares in 12 ways, for example, as 14741845056 + 5962934215744 = 121416^2 + 2441912^2 .

It is a super-2 number, since 2×5977676060800² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5977676060801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167908602 + ... + 167944198.

Almost surely, 2^{5977676060800} is an apocalyptic number.

5977676060800 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 5977676060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473479362020).

5977676060800 is an abundant number, since it is smaller than the sum of its proper divisors (8969282663240).

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

5977676060800 is a wasteful number, since it uses less digits than its factorization.

5977676060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36259 (or 36242 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 61.

The spelling of 5977676060800 in words is "five trillion, nine hundred seventy-seven billion, six hundred seventy-six million, sixty thousand, eight hundred".