5115389760 has 1120 divisors, whose sum is σ = 22305507840. Its totient is φ = 1098842112.

The previous prime is 5115389759. The next prime is 5115389761. The reversal of 5115389760 is 679835115.

It is a happy number.

5115389760 is a `hidden beast` number, since 51 + 1 + 538 + 9 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5115389759) and next prime (5115389761).

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 (5115389761) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 108838057 + ... + 108838103.

It is an arithmetic number, because the mean of its divisors is an integer number (19915632).

Almost surely, 2^5115389760 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 5115389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152753920).

5115389760 is an abundant number, since it is smaller than the sum of its proper divisors (17190118080).

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

5115389760 is a wasteful number, since it uses less digits than its factorization.

5115389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 5115389760 is about 71521.9529934691. The cubic root of 5115389760 is about 1723.0302810013.

The spelling of 5115389760 in words is "five billion, one hundred fifteen million, three hundred eighty-nine thousand, seven hundred sixty".