52935694165152 has 768 divisors, whose sum is σ = 178925595770880. Its totient is φ = 15126874177536.

The previous prime is 52935694165139. The next prime is 52935694165157. The reversal of 52935694165152 is 25156149653925.

52935694165152 is a `hidden beast` number, since 5 + 2 + 9 + 3 + 5 + 69 + 416 + 5 + 152 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 52935694165152.

It is not an unprimeable number, because it can be changed into a prime (52935694165157) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 587430883 + ... + 587520989.

It is an arithmetic number, because the mean of its divisors is an integer number (232976036160).

Almost surely, 2^{52935694165152} 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 52935694165152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89462797885440).

52935694165152 is an abundant number, since it is smaller than the sum of its proper divisors (125989901605728).

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

52935694165152 is a wasteful number, since it uses less digits than its factorization.

52935694165152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90250 (or 90236 counting only the distinct ones).

The product of its digits is 87480000, while the sum is 63.

The spelling of 52935694165152 in words is "fifty-two trillion, nine hundred thirty-five billion, six hundred ninety-four million, one hundred sixty-five thousand, one hundred fifty-two".