535642904160 has 2880 divisors, whose sum is σ = 2571280588800. Its totient is φ = 104613949440.

The previous prime is 535642904131. The next prime is 535642904179. The reversal of 535642904160 is 61409246535.

535642904160 is a `hidden beast` number, since 5 + 3 + 564 + 29 + 0 + 4 + 1 + 60 = 666.

535642904160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 17278803345 + ... + 17278803375.

It is an arithmetic number, because the mean of its divisors is an integer number (892805760).

Almost surely, 2^535642904160 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 535642904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285640294400).

535642904160 is an abundant number, since it is smaller than the sum of its proper divisors (2035637684640).

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

535642904160 is a wasteful number, since it uses less digits than its factorization.

535642904160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 535642904160 in words is "five hundred thirty-five billion, six hundred forty-two million, nine hundred four thousand, one hundred sixty".