535320023040 has 1664 divisors, whose sum is σ = 2282764861440. Its totient is φ = 117492940800.

The previous prime is 535320023027. The next prime is 535320023087. The reversal of 535320023040 is 40320023535.

535320023040 is a `hidden beast` number, since 5 + 35 + 320 + 0 + 2 + 304 + 0 = 666.

It is a super-2 number, since 2×535320023040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 535320022995 and 535320023013.

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, 3205509037 + ... + 3205509203.

Almost surely, 2^535320023040 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 535320023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141382430720).

535320023040 is an abundant number, since it is smaller than the sum of its proper divisors (1747444838400).

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

535320023040 is a wasteful number, since it uses less digits than its factorization.

535320023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 535320023040 its reverse (40320023535), we get a palindrome (575640046575).

The spelling of 535320023040 in words is "five hundred thirty-five billion, three hundred twenty million, twenty-three thousand, forty".