5458879895040 has 3840 divisors, whose sum is σ = 25223585587200. Its totient is φ = 1070176665600.

The previous prime is 5458879895023. The next prime is 5458879895041. The reversal of 5458879895040 is 405989788545.

5458879895040 is a `hidden beast` number, since 5 + 45 + 8 + 8 + 79 + 8 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5458879895040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5458879895041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56277112272 + ... + 56277112368.

It is an arithmetic number, because the mean of its divisors is an integer number (6568642080).

Almost surely, 2^{5458879895040} 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 5458879895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12611792793600).

5458879895040 is an abundant number, since it is smaller than the sum of its proper divisors (19764705692160).

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

5458879895040 is a wasteful number, since it uses less digits than its factorization.

5458879895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 5458879895040 in words is "five trillion, four hundred fifty-eight billion, eight hundred seventy-nine million, eight hundred ninety-five thousand, forty".