5879511456 has 192 divisors, whose sum is σ = 19068473088. Its totient is φ = 1544675328.

The previous prime is 5879511437. The next prime is 5879511623. The reversal of 5879511456 is 6541159785.

It is a super-2 number, since 2×5879511456² = 69137309922470479872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5879511399 and 5879511408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2558500 + ... + 2560796.

It is an arithmetic number, because the mean of its divisors is an integer number (99314964).

Almost surely, 2^5879511456 is an apocalyptic number.

5879511456 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 5879511456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534236544).

5879511456 is an abundant number, since it is smaller than the sum of its proper divisors (13188961632).

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

5879511456 is a wasteful number, since it uses less digits than its factorization.

5879511456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2615 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 51.

The square root of 5879511456 is about 76677.9724301575. The cubic root of 5879511456 is about 1804.8747959389.

The spelling of 5879511456 in words is "five billion, eight hundred seventy-nine million, five hundred eleven thousand, four hundred fifty-six".