52017153408 has 384 divisors, whose sum is σ = 167106551040. Its totient is φ = 15399014400.

The previous prime is 52017153389. The next prime is 52017153413. The reversal of 52017153408 is 80435171025.

52017153408 is a `hidden beast` number, since 52 + 0 + 1 + 71 + 534 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167257573 + ... + 167257883.

It is an arithmetic number, because the mean of its divisors is an integer number (435173310).

Almost surely, 2^52017153408 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 52017153408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83553275520).

52017153408 is an abundant number, since it is smaller than the sum of its proper divisors (115089397632).

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

52017153408 is a wasteful number, since it uses less digits than its factorization.

52017153408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 52017153408 in words is "fifty-two billion, seventeen million, one hundred fifty-three thousand, four hundred eight".