535851613440 has 864 divisors, whose sum is σ = 2188835550720. Its totient is φ = 119321395200.

The previous prime is 535851613417. The next prime is 535851613441. The reversal of 535851613440 is 44316158535.

535851613440 is a `hidden beast` number, since 5 + 3 + 585 + 1 + 61 + 3 + 4 + 4 + 0 = 666.

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 (535851613441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393718360 + ... + 393719720.

It is an arithmetic number, because the mean of its divisors is an integer number (2533374480).

Almost surely, 2^535851613440 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 535851613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094417775360).

535851613440 is an abundant number, since it is smaller than the sum of its proper divisors (1652983937280).

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

535851613440 is a wasteful number, since it uses less digits than its factorization.

535851613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 535851613440 in words is "five hundred thirty-five billion, eight hundred fifty-one million, six hundred thirteen thousand, four hundred forty".