579050000930940 has 384 divisors, whose sum is σ = 2037135336800256. Its totient is φ = 119386365696000.

The previous prime is 579050000930903. The next prime is 579050000930963. The reversal of 579050000930940 is 49039000050975.

It is a happy number.

It is a super-2 number, since 2×579050000930940² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4430750277 + ... + 4430880963.

It is an arithmetic number, because the mean of its divisors is an integer number (5305039939584).

Almost surely, 2^{579050000930940} 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 579050000930940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018567668400128).

579050000930940 is an abundant number, since it is smaller than the sum of its proper divisors (1458085335869316).

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

579050000930940 is a wasteful number, since it uses less digits than its factorization.

579050000930940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138169 (or 138167 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 51.

The spelling of 579050000930940 in words is "five hundred seventy-nine trillion, fifty billion, nine hundred thirty thousand, nine hundred forty".