52616909270016 has 1408 divisors, whose sum is σ = 201615275151360. Its totient is φ = 13174766567424.

The previous prime is 52616909270011. The next prime is 52616909270027. The reversal of 52616909270016 is 61007290961625.

52616909270016 is a `hidden beast` number, since 5 + 2 + 616 + 9 + 0 + 9 + 2 + 7 + 0 + 0 + 16 = 666.

52616909270016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×52616909270016² (a number of 28 digits) contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (52616909270011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7927811850 + ... + 7927818486.

Almost surely, 2^{52616909270016} is an apocalyptic number.

52616909270016 is a gapful number since it is divisible by the number (56) 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 52616909270016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100807637575680).

52616909270016 is an abundant number, since it is smaller than the sum of its proper divisors (148998365881344).

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

52616909270016 is a wasteful number, since it uses less digits than its factorization.

52616909270016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6846 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 52616909270016 in words is "fifty-two trillion, six hundred sixteen billion, nine hundred nine million, two hundred seventy thousand, sixteen".