5067276572160 has 1280 divisors, whose sum is σ = 20874793927680. Its totient is φ = 1151501598720.

The previous prime is 5067276572081. The next prime is 5067276572173. The reversal of 5067276572160 is 612756727605.

5067276572160 is a `hidden beast` number, since 5 + 0 + 6 + 7 + 2 + 7 + 6 + 572 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5067276572097 and 5067276572106.

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 127 ways as a sum of consecutive naturals, for example, 3968109442 + ... + 3968110718.

It is an arithmetic number, because the mean of its divisors is an integer number (16308432756).

Almost surely, 2^{5067276572160} 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 5067276572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10437396963840).

5067276572160 is an abundant number, since it is smaller than the sum of its proper divisors (15807517355520).

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

5067276572160 is a wasteful number, since it uses less digits than its factorization.

5067276572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 5067276572160 in words is "five trillion, sixty-seven billion, two hundred seventy-six million, five hundred seventy-two thousand, one hundred sixty".