5135058001920 has 2688 divisors, whose sum is σ = 22410509635584. Its totient is φ = 990904320000.

The previous prime is 5135058001891. The next prime is 5135058001921. The reversal of 5135058001920 is 291008505315.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135058001921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84181278690 + ... + 84181278750.

It is an arithmetic number, because the mean of its divisors is an integer number (8337243168).

Almost surely, 2^{5135058001920} 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 5135058001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11205254817792).

5135058001920 is an abundant number, since it is smaller than the sum of its proper divisors (17275451633664).

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

5135058001920 is a wasteful number, since it uses less digits than its factorization.

5135058001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The spelling of 5135058001920 in words is "five trillion, one hundred thirty-five billion, fifty-eight million, one thousand, nine hundred twenty".