6128088112080 has 480 divisors, whose sum is σ = 23248718558208. Its totient is φ = 1433121177600.

The previous prime is 6128088112079. The next prime is 6128088112129. The reversal of 6128088112080 is 802118808216.

6128088112080 is a `hidden beast` number, since 612 + 8 + 0 + 8 + 8 + 1 + 1 + 20 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 77790472 + ... + 77869208.

Almost surely, 2^{6128088112080} is an apocalyptic number.

6128088112080 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 6128088112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11624359279104).

6128088112080 is an abundant number, since it is smaller than the sum of its proper divisors (17120630446128).

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

6128088112080 is a wasteful number, since it uses less digits than its factorization.

6128088112080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79115 (or 79106 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 6128088112080 in words is "six trillion, one hundred twenty-eight billion, eighty-eight million, one hundred twelve thousand, eighty".