535877868960 has 504 divisors, whose sum is σ = 2208074284836. Its totient is φ = 122485063680.

The previous prime is 535877868959. The next prime is 535877869019. The reversal of 535877868960 is 69868778535.

535877868960 is a `hidden beast` number, since 535 + 8 + 7 + 7 + 8 + 6 + 89 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 480598335504 + 55279533456 = 693252^2 + 235116^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×535877868960² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5668480 + ... + 5762240.

Almost surely, 2^535877868960 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 535877868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104037142418).

535877868960 is an abundant number, since it is smaller than the sum of its proper divisors (1672196415876).

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

535877868960 is an equidigital number, since it uses as much as digits as its factorization.

535877868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93808 (or 93778 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 535877868960 in words is "five hundred thirty-five billion, eight hundred seventy-seven million, eight hundred sixty-eight thousand, nine hundred sixty".