5877290496 has 480 divisors, whose sum is σ = 20600110080. Its totient is φ = 1470873600.

The previous prime is 5877290467. The next prime is 5877290537. The reversal of 5877290496 is 6940927785.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25664910 + ... + 25665138.

It is an arithmetic number, because the mean of its divisors is an integer number (42916896).

Almost surely, 2^5877290496 is an apocalyptic number.

5877290496 is a gapful number since it is divisible by the number (56) 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 5877290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10300055040).

5877290496 is an abundant number, since it is smaller than the sum of its proper divisors (14722819584).

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

5877290496 is a wasteful number, since it uses less digits than its factorization.

5877290496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The square root of 5877290496 is about 76663.4886761619. The cubic root of 5877290496 is about 1804.6475061036.

The spelling of 5877290496 in words is "five billion, eight hundred seventy-seven million, two hundred ninety thousand, four hundred ninety-six".