5056169489280 has 3072 divisors, whose sum is σ = 23667091660800. Its totient is φ = 992254427136.

The previous prime is 5056169489257. The next prime is 5056169489333. The reversal of 5056169489280 is 829849616505.

5056169489280 is a `hidden beast` number, since 5 + 0 + 5 + 616 + 9 + 4 + 8 + 9 + 2 + 8 + 0 = 666.

It is a super-3 number, since 3×5056169489280³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 107578074217 + ... + 107578074263.

It is an arithmetic number, because the mean of its divisors is an integer number (7704131400).

Almost surely, 2^{5056169489280} 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 5056169489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11833545830400).

5056169489280 is an abundant number, since it is smaller than the sum of its proper divisors (18610922171520).

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

5056169489280 is a wasteful number, since it uses less digits than its factorization.

5056169489280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 5056169489280 in words is "five trillion, fifty-six billion, one hundred sixty-nine million, four hundred eighty-nine thousand, two hundred eighty".