5459705856000 has 2280 divisors, whose sum is σ = 23692080740328. Its totient is φ = 1245708288000.

The previous prime is 5459705855987. The next prime is 5459705856023. The reversal of 5459705856000 is 6585079545.

5459705856000 is a `hidden beast` number, since 5 + 4 + 5 + 9 + 70 + 5 + 8 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23123460096 + 5436582395904 = 152064^2 + 2331648^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 321159167992 + ... + 321159168008.

Almost surely, 2^{5459705856000} is an apocalyptic number.

5459705856000 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 5459705856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11846040370164).

5459705856000 is an abundant number, since it is smaller than the sum of its proper divisors (18232374884328).

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

5459705856000 is an frugal number, since it uses more digits than its factorization.

5459705856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 5459705856000 in words is "five trillion, four hundred fifty-nine billion, seven hundred five million, eight hundred fifty-six thousand".