61116565065600 has 384 divisors, whose sum is σ = 221777255525760. Its totient is φ = 14669440000000.

The previous prime is 61116565065581. The next prime is 61116565065601. The reversal of 61116565065600 is 656056561116.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 61116565065600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61116565065601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7800475 + ... + 13530725.

It is an arithmetic number, because the mean of its divisors is an integer number (577544936265).

Almost surely, 2^{61116565065600} is an apocalyptic number.

61116565065600 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 61116565065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110888627762880).

61116565065600 is an abundant number, since it is smaller than the sum of its proper divisors (160660690460160).

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

61116565065600 is a wasteful number, since it uses less digits than its factorization.

61116565065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730390 (or 5730373 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 61116565065600 in words is "sixty-one trillion, one hundred sixteen billion, five hundred sixty-five million, sixty-five thousand, six hundred".