5158578991104 has 1872 divisors, whose sum is σ = 20176092168960. Its totient is φ = 1287556300800.

The previous prime is 5158578991099. The next prime is 5158578991123. The reversal of 5158578991104 is 4011998758515.

5158578991104 is a `hidden beast` number, since 5 + 1 + 58 + 578 + 9 + 9 + 1 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×5158578991104² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24448241559 + ... + 24448241769.

Almost surely, 2^{5158578991104} is an apocalyptic number.

5158578991104 is a gapful number since it is divisible by the number (54) 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 5158578991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10088046084480).

5158578991104 is an abundant number, since it is smaller than the sum of its proper divisors (15017513177856).

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

5158578991104 is a wasteful number, since it uses less digits than its factorization.

5158578991104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 63.

The spelling of 5158578991104 in words is "five trillion, one hundred fifty-eight billion, five hundred seventy-eight million, nine hundred ninety-one thousand, one hundred four".