6160481568000 has 2304 divisors, whose sum is σ = 25038221644800. Its totient is φ = 1504935936000.

The previous prime is 6160481567993. The next prime is 6160481568061. The reversal of 6160481568000 is 8651840616.

6160481568000 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 4 + 81 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 255 ways as a sum of consecutive naturals, for example, 54517535944 + ... + 54517536056.

It is an arithmetic number, because the mean of its divisors is an integer number (10867283700).

Almost surely, 2^{6160481568000} is an apocalyptic number.

6160481568000 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 6160481568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519110822400).

6160481568000 is an abundant number, since it is smaller than the sum of its proper divisors (18877740076800).

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

6160481568000 is an equidigital number, since it uses as much as digits as its factorization.

6160481568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 6160481568000 in words is "six trillion, one hundred sixty billion, four hundred eighty-one million, five hundred sixty-eight thousand".