5044146125760 has 1120 divisors, whose sum is σ = 22524314250240. Its totient is φ = 1044759969792.

The previous prime is 5044146125723. The next prime is 5044146125791. The reversal of 5044146125760 is 675216414405.

5044146125760 is a `hidden beast` number, since 5 + 0 + 4 + 4 + 14 + 61 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 79257472 + ... + 79321088.

Almost surely, 2^{5044146125760} 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 5044146125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11262157125120).

5044146125760 is an abundant number, since it is smaller than the sum of its proper divisors (17480168124480).

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

5044146125760 is a wasteful number, since it uses less digits than its factorization.

5044146125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63695 (or 63676 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5044146125760 in words is "five trillion, forty-four billion, one hundred forty-six million, one hundred twenty-five thousand, seven hundred sixty".