575949873408 has 1152 divisors, whose sum is σ = 2076834816000. Its totient is φ = 137487974400.

The previous prime is 575949873407. The next prime is 575949873451. The reversal of 575949873408 is 804378949575.

It is not an unprimeable number, because it can be changed into a prime (575949873407) 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, 3865435318 + ... + 3865435466.

It is an arithmetic number, because the mean of its divisors is an integer number (1802808000).

Almost surely, 2^575949873408 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 575949873408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038417408000).

575949873408 is an abundant number, since it is smaller than the sum of its proper divisors (1500884942592).

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

575949873408 is a wasteful number, since it uses less digits than its factorization.

575949873408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 69.

The spelling of 575949873408 in words is "five hundred seventy-five billion, nine hundred forty-nine million, eight hundred seventy-three thousand, four hundred eight".