5061775380480 has 1248 divisors, whose sum is σ = 22396063382784. Its totient is φ = 1067883429888.

The previous prime is 5061775380449. The next prime is 5061775380491. The reversal of 5061775380480 is 840835771605.

It is a happy number.

5061775380480 is a `hidden beast` number, since 5 + 0 + 6 + 17 + 75 + 3 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452868652 + ... + 452879828.

It is an arithmetic number, because the mean of its divisors is an integer number (17945563608).

Almost surely, 2^{5061775380480} 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 5061775380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11198031691392).

5061775380480 is an abundant number, since it is smaller than the sum of its proper divisors (17334288002304).

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

5061775380480 is a wasteful number, since it uses less digits than its factorization.

5061775380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11241 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 5061775380480 in words is "five trillion, sixty-one billion, seven hundred seventy-five million, three hundred eighty thousand, four hundred eighty".