5276364807168 has 1408 divisors, whose sum is σ = 19837755392000. Its totient is φ = 1376514736128.

The previous prime is 5276364807163. The next prime is 5276364807209. The reversal of 5276364807168 is 8617084636725.

5276364807168 is a `hidden beast` number, since 5 + 2 + 76 + 364 + 80 + 71 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5276364807163) 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, 15656868696 + ... + 15656869032.

Almost surely, 2^{5276364807168} 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 5276364807168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9918877696000).

5276364807168 is an abundant number, since it is smaller than the sum of its proper divisors (14561390584832).

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

5276364807168 is a wasteful number, since it uses less digits than its factorization.

5276364807168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 5276364807168 in words is "five trillion, two hundred seventy-six billion, three hundred sixty-four million, eight hundred seven thousand, one hundred sixty-eight".