5331027916704 has 288 divisors, whose sum is σ = 16388072378496. Its totient is φ = 1512949831680.

The previous prime is 5331027916703. The next prime is 5331027916717. The reversal of 5331027916704 is 4076197201335.

It is a happy number.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is not an unprimeable number, because it can be changed into a prime (5331027916703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428636374 + ... + 428648810.

It is an arithmetic number, because the mean of its divisors is an integer number (56903029092).

Almost surely, 2^{5331027916704} 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 5331027916704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8194036189248).

5331027916704 is an abundant number, since it is smaller than the sum of its proper divisors (11057044461792).

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

5331027916704 is a wasteful number, since it uses less digits than its factorization.

5331027916704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13068 (or 13053 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 5331027916704 in words is "five trillion, three hundred thirty-one billion, twenty-seven million, nine hundred sixteen thousand, seven hundred four".