5064892416000 has 1360 divisors, whose sum is σ = 20040179187600. Its totient is φ = 1268357529600.

The previous prime is 5064892415959. The next prime is 5064892416011. The reversal of 5064892416000 is 6142984605.

5064892416000 is a `hidden beast` number, since 5 + 0 + 6 + 489 + 2 + 4 + 160 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 774625296384 + 4290267119616 = 880128^2 + 2071296^2 .

It is a tau number, because it is divible by the number of its divisors (1360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 11280383776 + ... + 11280384224.

Almost surely, 2^{5064892416000} is an apocalyptic number.

5064892416000 is a gapful number since it is divisible by the number (50) 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 5064892416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10020089593800).

5064892416000 is an abundant number, since it is smaller than the sum of its proper divisors (14975286771600).

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

5064892416000 is an frugal number, since it uses more digits than its factorization.

5064892416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 476 counting only the distinct ones).

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

The spelling of 5064892416000 in words is "five trillion, sixty-four billion, eight hundred ninety-two million, four hundred sixteen thousand".