5879554560 has 960 divisors, whose sum is σ = 24817161600. Its totient is φ = 1313832960.

The previous prime is 5879554543. The next prime is 5879554573. The reversal of 5879554560 is 654559785.

5879554560 is a `hidden beast` number, since 5 + 8 + 7 + 95 + 545 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5879554497 and 5879554506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158906862 + ... + 158906898.

It is an arithmetic number, because the mean of its divisors is an integer number (25851210).

Almost surely, 2^5879554560 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 5879554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12408580800).

5879554560 is an abundant number, since it is smaller than the sum of its proper divisors (18937607040).

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

5879554560 is a wasteful number, since it uses less digits than its factorization.

5879554560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The square root of 5879554560 is about 76678.2535012372. The cubic root of 5879554560 is about 1804.8792065736.

The spelling of 5879554560 in words is "five billion, eight hundred seventy-nine million, five hundred fifty-four thousand, five hundred sixty".