5458061901600 has 5184 divisors, whose sum is σ = 28142661254400. Its totient is φ = 1011651379200.

The previous prime is 5458061901569. The next prime is 5458061901613. The reversal of 5458061901600 is 61091608545.

5458061901600 is a `hidden beast` number, since 5 + 4 + 580 + 6 + 1 + 9 + 0 + 1 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 50073962346 + ... + 50073962454.

It is an arithmetic number, because the mean of its divisors is an integer number (5428754100).

Almost surely, 2^{5458061901600} is an apocalyptic number.

5458061901600 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 5458061901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14071330627200).

5458061901600 is an abundant number, since it is smaller than the sum of its proper divisors (22684599352800).

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

5458061901600 is a wasteful number, since it uses less digits than its factorization.

5458061901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 5458061901600 in words is "five trillion, four hundred fifty-eight billion, sixty-one million, nine hundred one thousand, six hundred".