535964553216 has 585 divisors, whose sum is σ = 1695730463229. Its totient is φ = 168674918400.

The previous prime is 535964553161. The next prime is 535964553233. The reversal of 535964553216 is 612355469535.

The square root of 535964553216 is 732096.

It is a perfect power (a square), and thus also a powerful number.

535964553216 is a `hidden beast` number, since 5 + 3 + 5 + 9 + 64 + 553 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25825775616 + 510138777600 = 160704^2 + 714240^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (14580000) is a multiple of the sum of its prime factors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13072306156 + ... + 13072306196.

Almost surely, 2^535964553216 is an apocalyptic number.

535964553216 is the 732096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535964553216

535964553216 is an abundant number, since it is smaller than the sum of its proper divisors (1159765910013).

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

535964553216 is an frugal number, since it uses more digits than its factorization.

535964553216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 77 counting only the distinct ones).

The product of its digits is 14580000, while the sum is 54.

The spelling of 535964553216 in words is "five hundred thirty-five billion, nine hundred sixty-four million, five hundred fifty-three thousand, two hundred sixteen".