61080536505600 has 1080 divisors, whose sum is σ = 227929809558528. Its totient is φ = 16138347724800.

The previous prime is 61080536505539. The next prime is 61080536505601. The reversal of 61080536505600 is 650563508016.

61080536505600 is a `hidden beast` number, since 6 + 1 + 0 + 8 + 0 + 5 + 36 + 5 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (61080536505601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27675819697 + ... + 27675821903.

Almost surely, 2^{61080536505600} is an apocalyptic number.

61080536505600 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 61080536505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113964904779264).

61080536505600 is an abundant number, since it is smaller than the sum of its proper divisors (166849273052928).

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

61080536505600 is a wasteful number, since it uses less digits than its factorization.

61080536505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 61080536505600 in words is "sixty-one trillion, eighty billion, five hundred thirty-six million, five hundred five thousand, six hundred".