5139872640 has 288 divisors, whose sum is σ = 20647490760. Its totient is φ = 1174763520.

The previous prime is 5139872597. The next prime is 5139872659. The reversal of 5139872640 is 462789315.

5139872640 is a `hidden beast` number, since 513 + 9 + 8 + 72 + 64 + 0 = 666.

5139872640 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

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

5139872640 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273135 + ... + 291345.

It is a 1-persistent number, because it is pandigital, but 2⋅5139872640 = 10279745280 is not.

Almost surely, 2^5139872640 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 5139872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10323745380).

5139872640 is an abundant number, since it is smaller than the sum of its proper divisors (15507618120).

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

5139872640 is a wasteful number, since it uses less digits than its factorization.

5139872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18250 (or 18228 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5139872640 is about 71692.9050883001. The cubic root of 5139872640 is about 1725.7747849080.

The spelling of 5139872640 in words is "five billion, one hundred thirty-nine million, eight hundred seventy-two thousand, six hundred forty".