535606874880 has 576 divisors, whose sum is σ = 2244959539200. Its totient is φ = 105436200960.

The previous prime is 535606874839. The next prime is 535606874917. The reversal of 535606874880 is 88478606535.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5570251 + ... + 5665589.

It is an arithmetic number, because the mean of its divisors is an integer number (3897499200).

Almost surely, 2^535606874880 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 535606874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122479769600).

535606874880 is an abundant number, since it is smaller than the sum of its proper divisors (1709352664320).

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

535606874880 is a wasteful number, since it uses less digits than its factorization.

535606874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95400 (or 95386 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 535606874880 in words is "five hundred thirty-five billion, six hundred six million, eight hundred seventy-four thousand, eight hundred eighty".