5064970450176 has 1728 divisors, whose sum is σ = 19151186116608. Its totient is φ = 1252106698752.

The previous prime is 5064970450153. The next prime is 5064970450187. The reversal of 5064970450176 is 6710540794605.

5064970450176 is a `hidden beast` number, since 5 + 0 + 64 + 9 + 7 + 0 + 4 + 501 + 76 = 666.

It is a super-2 number, since 2×5064970450176² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39881657025 + ... + 39881657151.

It is an arithmetic number, because the mean of its divisors is an integer number (11082862336).

Almost surely, 2^{5064970450176} is an apocalyptic number.

5064970450176 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5064970450176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575593058304).

5064970450176 is an abundant number, since it is smaller than the sum of its proper divisors (14086215666432).

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

5064970450176 is a wasteful number, since it uses less digits than its factorization.

5064970450176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 5064970450176 in words is "five trillion, sixty-four billion, nine hundred seventy million, four hundred fifty thousand, one hundred seventy-six".