55307668014144 has 630 divisors, whose sum is σ = 206515638106074. Its totient is φ = 14586626396160.

The previous prime is 55307668014059. The next prime is 55307668014173. The reversal of 55307668014144 is 44141086670355.

55307668014144 is a `hidden beast` number, since 5 + 530 + 7 + 6 + 6 + 80 + 14 + 14 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 208045454400 + 55099622559744 = 456120^2 + 7422912^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 42284524 + ... + 43572884.

Almost surely, 2^{55307668014144} is an apocalyptic number.

55307668014144 is a gapful number since it is divisible by the number (54) 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 55307668014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103257819053037).

55307668014144 is an abundant number, since it is smaller than the sum of its proper divisors (151207970091930).

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

55307668014144 is a wasteful number, since it uses less digits than its factorization.

55307668014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288425 (or 1288386 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 55307668014144 in words is "fifty-five trillion, three hundred seven billion, six hundred sixty-eight million, fourteen thousand, one hundred forty-four".