535540856832000 has 720 divisors, whose sum is σ = 1935492270566400. Its totient is φ = 142459718860800.

The previous prime is 535540856831999. The next prime is 535540856832031. The reversal of 535540856832000 is 238658045535.

It is a happy number.

535540856832000 is a `hidden beast` number, since 5 + 3 + 5 + 5 + 40 + 8 + 568 + 32 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7538652481 + ... + 7538723519.

It is an arithmetic number, because the mean of its divisors is an integer number (2688183709120).

Almost surely, 2^{535540856832000} is an apocalyptic number.

535540856832000 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 535540856832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967746135283200).

535540856832000 is an abundant number, since it is smaller than the sum of its proper divisors (1399951413734400).

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

535540856832000 is an equidigital number, since it uses as much as digits as its factorization.

535540856832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71497 (or 71458 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 535540856832000 in words is "five hundred thirty-five trillion, five hundred forty billion, eight hundred fifty-six million, eight hundred thirty-two thousand".