5980677120 has 1056 divisors, whose sum is σ = 25750932480. Its totient is φ = 1313832960.

The previous prime is 5980677113. The next prime is 5980677137. The reversal of 5980677120 is 217760895.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260029429 + ... + 260029451.

Almost surely, 2^5980677120 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 5980677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875466240).

5980677120 is an abundant number, since it is smaller than the sum of its proper divisors (19770255360).

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

5980677120 is a wasteful number, since it uses less digits than its factorization.

5980677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 5980677120 is about 77334.8376865175. The cubic root of 5980677120 is about 1815.1678282074.

The spelling of 5980677120 in words is "five billion, nine hundred eighty million, six hundred seventy-seven thousand, one hundred twenty".