535089790588320 has 2304 divisors, whose sum is σ = 2318916592742400. Its totient is φ = 113752205107200.

The previous prime is 535089790588307. The next prime is 535089790588321. The reversal of 535089790588320 is 23885097980535.

535089790588320 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 8 + 9 + 7 + 9 + 0 + 588 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (535089790588321) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19956343234 + ... + 19956370046.

It is an arithmetic number, because the mean of its divisors is an integer number (1006474215600).

Almost surely, 2^{535089790588320} 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 535089790588320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159458296371200).

535089790588320 is an abundant number, since it is smaller than the sum of its proper divisors (1783826802154080).

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

535089790588320 is a wasteful number, since it uses less digits than its factorization.

535089790588320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26952 (or 26907 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 535089790588320 in words is "five hundred thirty-five trillion, eighty-nine billion, seven hundred ninety million, five hundred eighty-eight thousand, three hundred twenty".