6561156651120 has 240 divisors, whose sum is σ = 22070552429952. Its totient is φ = 1746785779200.

The previous prime is 6561156651113. The next prime is 6561156651121. The reversal of 6561156651120 is 211566511656.

6561156651120 is a `hidden beast` number, since 6 + 5 + 6 + 11 + 566 + 51 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6561156651121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2048439439 + ... + 2048442641.

Almost surely, 2^{6561156651120} is an apocalyptic number.

6561156651120 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 6561156651120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11035276214976).

6561156651120 is an abundant number, since it is smaller than the sum of its proper divisors (15509395778832).

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

6561156651120 is a wasteful number, since it uses less digits than its factorization.

6561156651120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6980 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 6561156651120 in words is "six trillion, five hundred sixty-one billion, one hundred fifty-six million, six hundred fifty-one thousand, one hundred twenty".