5264692513920 has 768 divisors, whose sum is σ = 21898985472000. Its totient is φ = 1138525839360.

The previous prime is 5264692513867. The next prime is 5264692513999. The reversal of 5264692513920 is 293152964625.

5264692513920 is a `hidden beast` number, since 5 + 2 + 6 + 469 + 25 + 139 + 20 = 666.

It is a super-3 number, since 3×5264692513920³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 642737025 + ... + 642745215.

It is an arithmetic number, because the mean of its divisors is an integer number (28514304000).

Almost surely, 2^{5264692513920} 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 5264692513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949492736000).

5264692513920 is an abundant number, since it is smaller than the sum of its proper divisors (16634292958080).

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

5264692513920 is a wasteful number, since it uses less digits than its factorization.

5264692513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9081 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 5264692513920 in words is "five trillion, two hundred sixty-four billion, six hundred ninety-two million, five hundred thirteen thousand, nine hundred twenty".