6156318561120 has 1152 divisors, whose sum is σ = 26931507886080. Its totient is φ = 1285947187200.

The previous prime is 6156318561101. The next prime is 6156318561181. The reversal of 6156318561120 is 211658136516.

It is a happy number.

6156318561120 is a `hidden beast` number, since 6 + 1 + 5 + 6 + 3 + 1 + 8 + 5 + 611 + 20 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 516160597 + ... + 516172523.

It is an arithmetic number, because the mean of its divisors is an integer number (23378045040).

Almost surely, 2^{6156318561120} is an apocalyptic number.

6156318561120 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 6156318561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465753943040).

6156318561120 is an abundant number, since it is smaller than the sum of its proper divisors (20775189324960).

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

6156318561120 is a wasteful number, since it uses less digits than its factorization.

6156318561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12085 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 6156318561120 in words is "six trillion, one hundred fifty-six billion, three hundred eighteen million, five hundred sixty-one thousand, one hundred twenty".