5045360590080 has 288 divisors, whose sum is σ = 17913146697600. Its totient is φ = 1344743866368.

The previous prime is 5045360590069. The next prime is 5045360590121. The reversal of 5045360590080 is 800950635405.

5045360590080 is a `hidden beast` number, since 5 + 0 + 4 + 53 + 6 + 0 + 590 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×5045360590080³ (a number of 39 digits) contains 333 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69671331 + ... + 69743709.

Almost surely, 2^{5045360590080} 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 5045360590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8956573348800).

5045360590080 is an abundant number, since it is smaller than the sum of its proper divisors (12867786107520).

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

5045360590080 is a wasteful number, since it uses less digits than its factorization.

5045360590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74426 (or 74406 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 5045360590080 in words is "five trillion, forty-five billion, three hundred sixty million, five hundred ninety thousand, eighty".