6005409191280 has 160 divisors (see below), whose sum is σ = 20715238782720. Its totient is φ = 1599124481280.

The previous prime is 6005409191251. The next prime is 6005409191291. The reversal of 6005409191280 is 821919045006.

6005409191280 is a `hidden beast` number, since 6 + 0 + 0 + 540 + 9 + 19 + 12 + 80 = 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 31 ways as a sum of consecutive naturals, for example, 519222 + ... + 3504341.

It is an arithmetic number, because the mean of its divisors is an integer number (129470242392).

Almost surely, 2^{6005409191280} is an apocalyptic number.

6005409191280 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 6005409191280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10357619391360).

6005409191280 is an abundant number, since it is smaller than the sum of its proper divisors (14709829591440).

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

6005409191280 is a wasteful number, since it uses less digits than its factorization.

6005409191280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024276 (or 4024264 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 6005409191280 in words is "six trillion, five billion, four hundred nine million, one hundred ninety-one thousand, two hundred eighty".