6128500619880 has 768 divisors, whose sum is σ = 21201760419840. Its totient is φ = 1591852953600.

The previous prime is 6128500619867. The next prime is 6128500619987. The reversal of 6128500619880 is 889160058216.

It is a happy number.

6128500619880 is a `hidden beast` number, since 6 + 12 + 8 + 5 + 0 + 0 + 619 + 8 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27482065449 + ... + 27482065671.

It is an arithmetic number, because the mean of its divisors is an integer number (27606458880).

Almost surely, 2^{6128500619880} is an apocalyptic number.

6128500619880 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 6128500619880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10600880209920).

6128500619880 is an abundant number, since it is smaller than the sum of its proper divisors (15073259799960).

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

6128500619880 is a wasteful number, since it uses less digits than its factorization.

6128500619880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 6128500619880 in words is "six trillion, one hundred twenty-eight billion, five hundred million, six hundred nineteen thousand, eight hundred eighty".