5459120535000 has 320 divisors, whose sum is σ = 18611766328320. Its totient is φ = 1322919360000.

The previous prime is 5459120534993. The next prime is 5459120535013. The reversal of 5459120535000 is 5350219545.

It is a self number, because there is not a number n which added to its sum of digits gives 5459120535000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 615940569 + ... + 615949431.

It is an arithmetic number, because the mean of its divisors is an integer number (58161769776).

Almost surely, 2^{5459120535000} is an apocalyptic number.

5459120535000 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 5459120535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9305883164160).

5459120535000 is an abundant number, since it is smaller than the sum of its proper divisors (13152645793320).

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

5459120535000 is a wasteful number, since it uses less digits than its factorization.

5459120535000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12636 (or 12617 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 5459120535000 in words is "five trillion, four hundred fifty-nine billion, one hundred twenty million, five hundred thirty-five thousand".