5292081340416 has 1344 divisors, whose sum is σ = 18434099174400. Its totient is φ = 1503216009216.

The previous prime is 5292081340391. The next prime is 5292081340417. The reversal of 5292081340416 is 6140431802925.

5292081340416 is a `hidden beast` number, since 5 + 29 + 208 + 1 + 3 + 4 + 0 + 416 = 666.

It is a super-3 number, since 3×5292081340416³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5292081340417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23109525390 + ... + 23109525618.

It is an arithmetic number, because the mean of its divisors is an integer number (13715847600).

Almost surely, 2^{5292081340416} 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 5292081340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217049587200).

5292081340416 is an abundant number, since it is smaller than the sum of its proper divisors (13142017833984).

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

5292081340416 is a wasteful number, since it uses less digits than its factorization.

5292081340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 5292081340416 in words is "five trillion, two hundred ninety-two billion, eighty-one million, three hundred forty thousand, four hundred sixteen".