5329037564928 has 3168 divisors, whose sum is σ = 22346362080000. Its totient is φ = 1244637757440.

The previous prime is 5329037564927. The next prime is 5329037564971. The reversal of 5329037564928 is 8294657309235.

5329037564928 is a `hidden beast` number, since 5 + 3 + 2 + 90 + 3 + 7 + 56 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

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 (5329037564927) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 90322670563 + ... + 90322670621.

Almost surely, 2^{5329037564928} is an apocalyptic number.

5329037564928 is a gapful number since it is divisible by the number (58) 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 5329037564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173181040000).

5329037564928 is an abundant number, since it is smaller than the sum of its proper divisors (17017324515072).

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

5329037564928 is a wasteful number, since it uses less digits than its factorization.

5329037564928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 5329037564928 in words is "five trillion, three hundred twenty-nine billion, thirty-seven million, five hundred sixty-four thousand, nine hundred twenty-eight".