285960601824 has 96 divisors (see below), whose sum is σ = 795585351456. Its totient is φ = 89624739840.

The previous prime is 285960601769. The next prime is 285960601847. The reversal of 285960601824 is 428106069582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1580464 + ... + 1752080.

It is an arithmetic number, because the mean of its divisors is an integer number (8287347411).

Almost surely, 2^285960601824 is an apocalyptic number.

285960601824 is a gapful number since it is divisible by the number (24) 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 285960601824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397792675728).

285960601824 is an abundant number, since it is smaller than the sum of its proper divisors (509624749632).

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

285960601824 is a wasteful number, since it uses less digits than its factorization.

285960601824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172668 (or 172660 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 285960601824 in words is "two hundred eighty-five billion, nine hundred sixty million, six hundred one thousand, eight hundred twenty-four".