55560610560 has 1152 divisors, whose sum is σ = 236297650176. Its totient is φ = 10802626560.

The previous prime is 55560610531. The next prime is 55560610561. The reversal of 55560610560 is 6501606555.

55560610560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (55560610561) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 249150609 + ... + 249150831.

It is an arithmetic number, because the mean of its divisors is an integer number (205119488).

Almost surely, 2^55560610560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55560610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118148825088).

55560610560 is an abundant number, since it is smaller than the sum of its proper divisors (180737039616).

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

55560610560 is a wasteful number, since it uses less digits than its factorization.

55560610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 55560610560 in words is "fifty-five billion, five hundred sixty million, six hundred ten thousand, five hundred sixty".