535465728000 has 2880 divisors, whose sum is σ = 2537822327040. Its totient is φ = 111476736000.

The previous prime is 535465727981. The next prime is 535465728001. The reversal of 535465728000 is 827564535.

535465728000 is a `hidden beast` number, since 5 + 35 + 46 + 572 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535465728001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17273087985 + ... + 17273088015.

It is an arithmetic number, because the mean of its divisors is an integer number (881188308).

Almost surely, 2^535465728000 is an apocalyptic number.

535465728000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535465728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268911163520).

535465728000 is an abundant number, since it is smaller than the sum of its proper divisors (2002356599040).

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

535465728000 is a wasteful number, since it uses less digits than its factorization.

535465728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 535465728000 in words is "five hundred thirty-five billion, four hundred sixty-five million, seven hundred twenty-eight thousand".