5329964079216 has 640 divisors, whose sum is σ = 18393337036800. Its totient is φ = 1445679083520.

The previous prime is 5329964079197. The next prime is 5329964079233. The reversal of 5329964079216 is 6129704699235.

5329964079216 is a `hidden beast` number, since 5 + 3 + 2 + 9 + 9 + 6 + 407 + 9 + 216 = 666.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a congruent number.

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, 4109455080 + ... + 4109456376.

It is an arithmetic number, because the mean of its divisors is an integer number (28739589120).

Almost surely, 2^{5329964079216} is an apocalyptic number.

5329964079216 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 5329964079216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9196668518400).

5329964079216 is an abundant number, since it is smaller than the sum of its proper divisors (13063372957584).

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

5329964079216 is a wasteful number, since it uses less digits than its factorization.

5329964079216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 5329964079216 in words is "five trillion, three hundred twenty-nine billion, nine hundred sixty-four million, seventy-nine thousand, two hundred sixteen".