5330948960064 has 896 divisors, whose sum is σ = 19458432000000. Its totient is φ = 1273965428736.

The previous prime is 5330948960053. The next prime is 5330948960069. The reversal of 5330948960064 is 4600698490335.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 5330948959986 and 5330948960013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5330948960069) 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, 374120812 + ... + 374135060.

It is an arithmetic number, because the mean of its divisors is an integer number (21717000000).

Almost surely, 2^{5330948960064} 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 5330948960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729216000000).

5330948960064 is an abundant number, since it is smaller than the sum of its proper divisors (14127483039936).

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

5330948960064 is a wasteful number, since it uses less digits than its factorization.

5330948960064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14340 (or 14316 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 5330948960064 in words is "five trillion, three hundred thirty billion, nine hundred forty-eight million, nine hundred sixty thousand, sixty-four".