5140586880 has 576 divisors, whose sum is σ = 21121747920. Its totient is φ = 1135779840.

The previous prime is 5140586863. The next prime is 5140586887. The reversal of 5140586880 is 886850415.

5140586880 is a `hidden beast` number, since 514 + 0 + 58 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140586887) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65070681 + ... + 65070759.

Almost surely, 2^5140586880 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 5140586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10560873960).

5140586880 is an abundant number, since it is smaller than the sum of its proper divisors (15981161040).

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

5140586880 is a wasteful number, since it uses less digits than its factorization.

5140586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 5140586880 is about 71697.8861613088. The cubic root of 5140586880 is about 1725.8547194627.

The spelling of 5140586880 in words is "five billion, one hundred forty million, five hundred eighty-six thousand, eight hundred eighty".