5127160278240 has 5760 divisors, whose sum is σ = 27034509680640. Its totient is φ = 886837248000.

The previous prime is 5127160278239. The next prime is 5127160278313. The reversal of 5127160278240 is 428720617215.

5127160278240 is a `hidden beast` number, since 5 + 12 + 7 + 1 + 602 + 7 + 8 + 24 + 0 = 666.

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

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 84051807810 + ... + 84051807870.

It is an arithmetic number, because the mean of its divisors is an integer number (4693491264).

Almost surely, 2^{5127160278240} 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 5127160278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517254840320).

5127160278240 is an abundant number, since it is smaller than the sum of its proper divisors (21907349402400).

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

5127160278240 is a wasteful number, since it uses less digits than its factorization.

5127160278240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 5127160278240 in words is "five trillion, one hundred twenty-seven billion, one hundred sixty million, two hundred seventy-eight thousand, two hundred forty".