535015362816 has 576 divisors, whose sum is σ = 1765515628800. Its totient is φ = 160436920320.

The previous prime is 535015362781. The next prime is 535015362839. The reversal of 535015362816 is 618263510535.

535015362816 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 1 + 5 + 3 + 628 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×535015362816² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 671286130 + ... + 671286926.

It is an arithmetic number, because the mean of its divisors is an integer number (3065131300).

Almost surely, 2^535015362816 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 535015362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882757814400).

535015362816 is an abundant number, since it is smaller than the sum of its proper divisors (1230500265984).

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

535015362816 is an equidigital number, since it uses as much as digits as its factorization.

535015362816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 535015362816 in words is "five hundred thirty-five billion, fifteen million, three hundred sixty-two thousand, eight hundred sixteen".