535235505120 has 144 divisors (see below), whose sum is σ = 1847013976080. Its totient is φ = 141125732352.

The previous prime is 535235505113. The next prime is 535235505151. The reversal of 535235505120 is 21505532535.

535235505120 is a `hidden beast` number, since 5 + 3 + 5 + 23 + 5 + 505 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1959994 + ... + 2216313.

It is an arithmetic number, because the mean of its divisors is an integer number (12826485945).

Almost surely, 2^535235505120 is an apocalyptic number.

It is an amenable number.

535235505120 is an abundant number, since it is smaller than the sum of its proper divisors (1311778470960).

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

535235505120 is a wasteful number, since it uses less digits than its factorization.

535235505120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176417 (or 4176406 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 535235505120 in words is "five hundred thirty-five billion, two hundred thirty-five million, five hundred five thousand, one hundred twenty".