6129898560 has 448 divisors, whose sum is σ = 23094086400. Its totient is φ = 1545246720.

The previous prime is 6129898501. The next prime is 6129898571. The reversal of 6129898560 is 658989216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6129898497 and 6129898506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13296730 + ... + 13297190.

It is an arithmetic number, because the mean of its divisors is an integer number (51549300).

Almost surely, 2^6129898560 is an apocalyptic number.

6129898560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6129898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11547043200).

6129898560 is an abundant number, since it is smaller than the sum of its proper divisors (16964187840).

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

6129898560 is an equidigital number, since it uses as much as digits as its factorization.

6129898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 6129898560 is about 78293.6687095451. The cubic root of 6129898560 is about 1830.1404890800.

The spelling of 6129898560 in words is "six billion, one hundred twenty-nine million, eight hundred ninety-eight thousand, five hundred sixty".