55345705560 has 192 divisors, whose sum is σ = 184939372800. Its totient is φ = 14344086528.

The previous prime is 55345705553. The next prime is 55345705567. The reversal of 55345705560 is 6550754355.

55345705560 is a `hidden beast` number, since 5 + 5 + 34 + 57 + 0 + 5 + 560 = 666.

55345705560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55345705553) and next prime (55345705567).

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 (55345705567) 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, 16475161 + ... + 16478519.

It is an arithmetic number, because the mean of its divisors is an integer number (963225900).

Almost surely, 2^55345705560 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 55345705560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92469686400).

55345705560 is an abundant number, since it is smaller than the sum of its proper divisors (129593667240).

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

55345705560 is a wasteful number, since it uses less digits than its factorization.

55345705560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 1575000, while the sum is 45.

The spelling of 55345705560 in words is "fifty-five billion, three hundred forty-five million, seven hundred five thousand, five hundred sixty".