52329086536320 has 1024 divisors, whose sum is σ = 225340828416000. Its totient is φ = 11311199354880.

The previous prime is 52329086536297. The next prime is 52329086536343. The reversal of 52329086536320 is 2363568092325.

52329086536320 is a `hidden beast` number, since 5 + 2 + 3 + 2 + 9 + 0 + 86 + 536 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (52329086536297) and next prime (52329086536343).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60969679 + ... + 61822001.

It is an arithmetic number, because the mean of its divisors is an integer number (220059402750).

Almost surely, 2^{52329086536320} 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 52329086536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112670414208000).

52329086536320 is an abundant number, since it is smaller than the sum of its proper divisors (173011741879680).

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

52329086536320 is a wasteful number, since it uses less digits than its factorization.

52329086536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852398 (or 852380 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 52329086536320 in words is "fifty-two trillion, three hundred twenty-nine billion, eighty-six million, five hundred thirty-six thousand, three hundred twenty".