5877658960 has 40 divisors (see below), whose sum is σ = 13685987880. Its totient is φ = 2347548672.

The previous prime is 5877658937. The next prime is 5877658961. The reversal of 5877658960 is 698567785.

It can be written as a sum of positive squares in 4 ways, for example, as 3356224 + 5874302736 = 1832^2 + 76644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5877658961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 745 + ... + 108424.

It is an arithmetic number, because the mean of its divisors is an integer number (342149697).

Almost surely, 2^5877658960 is an apocalyptic number.

It is an amenable number.

5877658960 is an abundant number, since it is smaller than the sum of its proper divisors (7808328920).

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

5877658960 is a wasteful number, since it uses less digits than its factorization.

5877658960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109855 (or 109849 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 61.

The square root of 5877658960 is about 76665.8917641998. The cubic root of 5877658960 is about 1804.6852181380.

The spelling of 5877658960 in words is "five billion, eight hundred seventy-seven million, six hundred fifty-eight thousand, nine hundred sixty".