5458674333420 has 1152 divisors, whose sum is σ = 22078422374400. Its totient is φ = 1096708377600.

The previous prime is 5458674333403. The next prime is 5458674333503. The reversal of 5458674333420 is 243334768545.

5458674333420 is a `hidden beast` number, since 5 + 4 + 586 + 7 + 4 + 3 + 3 + 34 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4834963416 + ... + 4834964544.

It is an arithmetic number, because the mean of its divisors is an integer number (19165297200).

Almost surely, 2^{5458674333420} 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 5458674333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11039211187200).

5458674333420 is an abundant number, since it is smaller than the sum of its proper divisors (16619748040980).

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

5458674333420 is a wasteful number, since it uses less digits than its factorization.

5458674333420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 5458674333420 in words is "five trillion, four hundred fifty-eight billion, six hundred seventy-four million, three hundred thirty-three thousand, four hundred twenty".