5144577005295 has 768 divisors, whose sum is σ = 12544100352000. Its totient is φ = 1986985728000.

The previous prime is 5144577005287. The next prime is 5144577005299. The reversal of 5144577005295 is 5925007754415.

5144577005295 is a `hidden beast` number, since 5 + 1 + 4 + 45 + 7 + 70 + 0 + 529 + 5 = 666.

It is not a de Polignac number, because 5144577005295 - 2³ = 5144577005287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144577005299) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 8560027995 + ... + 8560028595.

It is an arithmetic number, because the mean of its divisors is an integer number (16333464000).

Almost surely, 2^{5144577005295} is an apocalyptic number.

5144577005295 is an abundant number, since it is smaller than the sum of its proper divisors (7399523346705).

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

5144577005295 is a wasteful number, since it uses less digits than its factorization.

5144577005295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 5144577005295 in words is "five trillion, one hundred forty-four billion, five hundred seventy-seven million, five thousand, two hundred ninety-five".