5458035952080 has 480 divisors, whose sum is σ = 19315575152640. Its totient is φ = 1378502737920.

The previous prime is 5458035952049. The next prime is 5458035952081. The reversal of 5458035952080 is 802595308545.

It is a happy number.

5458035952080 is a `hidden beast` number, since 5 + 4 + 5 + 8 + 0 + 35 + 9 + 520 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5458035952081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1196673000 + ... + 1196677560.

It is an arithmetic number, because the mean of its divisors is an integer number (40240781568).

Almost surely, 2^{5458035952080} 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 5458035952080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9657787576320).

5458035952080 is an abundant number, since it is smaller than the sum of its proper divisors (13857539200560).

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

5458035952080 is a wasteful number, since it uses less digits than its factorization.

5458035952080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5299 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 5458035952080 in words is "five trillion, four hundred fifty-eight billion, thirty-five million, nine hundred fifty-two thousand, eighty".