5950578816 has 960 divisors, whose sum is σ = 23932865880. Its totient is φ = 1449197568.

The previous prime is 5950578749. The next prime is 5950578839. The reversal of 5950578816 is 6188750595.

5950578816 is a `hidden beast` number, since 5 + 9 + 50 + 578 + 8 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5340686400 + 609892416 = 73080^2 + 24696^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112275046 + ... + 112275098.

Almost surely, 2^5950578816 is an apocalyptic number.

5950578816 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 5950578816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11966432940).

5950578816 is an abundant number, since it is smaller than the sum of its proper divisors (17982287064).

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

5950578816 is a wasteful number, since it uses less digits than its factorization.

5950578816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The square root of 5950578816 is about 77139.9949183301. The cubic root of 5950578816 is about 1812.1177064890.

The spelling of 5950578816 in words is "five billion, nine hundred fifty million, five hundred seventy-eight thousand, eight hundred sixteen".