5140013760 has 1008 divisors, whose sum is σ = 22766365440. Its totient is φ = 1097349120.

The previous prime is 5140013719. The next prime is 5140013761. The reversal of 5140013760 is 673100415.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140013761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72394525 + ... + 72394595.

It is an arithmetic number, because the mean of its divisors is an integer number (22585680).

Almost surely, 2^5140013760 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 5140013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383182720).

5140013760 is an abundant number, since it is smaller than the sum of its proper divisors (17626351680).

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

5140013760 is a wasteful number, since it uses less digits than its factorization.

5140013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5140013760 is about 71693.8892793521. The cubic root of 5140013760 is about 1725.7905790159.

The spelling of 5140013760 in words is "five billion, one hundred forty million, thirteen thousand, seven hundred sixty".