5190117120 has 360 divisors, whose sum is σ = 18777827376. Its totient is φ = 1368686592.

The previous prime is 5190117109. The next prime is 5190117131. The reversal of 5190117120 is 217110915.

It is an interprime number because it is at equal distance from previous prime (5190117109) and next prime (5190117131).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11715619 + ... + 11716061.

Almost surely, 2^5190117120 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 5190117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9388913688).

5190117120 is an abundant number, since it is smaller than the sum of its proper divisors (13587710256).

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

5190117120 is a wasteful number, since it uses less digits than its factorization.

5190117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The square root of 5190117120 is about 72042.4674757882. The cubic root of 5190117120 is about 1731.3799585830.

The spelling of 5190117120 in words is "five billion, one hundred ninety million, one hundred seventeen thousand, one hundred twenty".