5877256320 has 1024 divisors, whose sum is σ = 25292736000. Its totient is φ = 1289945088.

The previous prime is 5877256289. The next prime is 5877256327. The reversal of 5877256320 is 236527785.

5877256320 is a `hidden beast` number, since 5 + 8 + 7 + 7 + 2 + 5 + 632 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5877256327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 309329271 + ... + 309329289.

Almost surely, 2^5877256320 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 5877256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12646368000).

5877256320 is an abundant number, since it is smaller than the sum of its proper divisors (19415479680).

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

5877256320 is a wasteful number, since it uses less digits than its factorization.

5877256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 5877256320 is about 76663.2657796418. The cubic root of 5877256320 is about 1804.6440081339.

The spelling of 5877256320 in words is "five billion, eight hundred seventy-seven million, two hundred fifty-six thousand, three hundred twenty".