6113580354720 has 576 divisors, whose sum is σ = 22200744384000. Its totient is φ = 1529428819968.

The previous prime is 6113580354683. The next prime is 6113580354773. The reversal of 6113580354720 is 274530853116.

It is a happy number.

6113580354720 is a `hidden beast` number, since 6 + 1 + 1 + 3 + 5 + 80 + 3 + 547 + 20 = 666.

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

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, 272806876 + ... + 272829284.

It is an arithmetic number, because the mean of its divisors is an integer number (38542959000).

Almost surely, 2^{6113580354720} is an apocalyptic number.

6113580354720 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 6113580354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100372192000).

6113580354720 is an abundant number, since it is smaller than the sum of its proper divisors (16087164029280).

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

6113580354720 is a wasteful number, since it uses less digits than its factorization.

6113580354720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22645 (or 22634 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 6113580354720 in words is "six trillion, one hundred thirteen billion, five hundred eighty million, three hundred fifty-four thousand, seven hundred twenty".