5134744096020 has 864 divisors, whose sum is σ = 20839446561024. Its totient is φ = 1038092267520.

The previous prime is 5134744096019. The next prime is 5134744096067. The reversal of 5134744096020 is 206904474315.

5134744096020 is a `hidden beast` number, since 5 + 1 + 34 + 7 + 4 + 4 + 0 + 9 + 602 + 0 = 666.

It is a super-2 number, since 2×5134744096020² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 152290684 + ... + 152324396.

It is an arithmetic number, because the mean of its divisors is an integer number (24119729816).

Almost surely, 2^{5134744096020} 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 5134744096020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10419723280512).

5134744096020 is an abundant number, since it is smaller than the sum of its proper divisors (15704702465004).

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

5134744096020 is a wasteful number, since it uses less digits than its factorization.

5134744096020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33803 (or 33778 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 5134744096020 in words is "five trillion, one hundred thirty-four billion, seven hundred forty-four million, ninety-six thousand, twenty".