5198729760 has 576 divisors, whose sum is σ = 21254897664. Its totient is φ = 1132185600.

The previous prime is 5198729759. The next prime is 5198729771. The reversal of 5198729760 is 679278915.

It is a super-2 number, since 2×5198729760² = 54053582235019315200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5198729697 and 5198729706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39684895 + ... + 39685025.

It is an arithmetic number, because the mean of its divisors is an integer number (36900864).

Almost surely, 2^5198729760 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 5198729760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10627448832).

5198729760 is an abundant number, since it is smaller than the sum of its proper divisors (16056167904).

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

5198729760 is a wasteful number, since it uses less digits than its factorization.

5198729760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 5198729760 is about 72102.2174416294. The cubic root of 5198729760 is about 1732.3371310448.

The spelling of 5198729760 in words is "five billion, one hundred ninety-eight million, seven hundred twenty-nine thousand, seven hundred sixty".