55430704630080 has 1344 divisors, whose sum is σ = 210483462728448. Its totient is φ = 13306977976320.

The previous prime is 55430704630073. The next prime is 55430704630141. The reversal of 55430704630080 is 8003640703455.

55430704630080 is a `hidden beast` number, since 5 + 5 + 4 + 3 + 0 + 7 + 0 + 4 + 630 + 0 + 8 + 0 = 666.

55430704630080 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159742664467 + ... + 159742664813.

It is an arithmetic number, because the mean of its divisors is an integer number (156609719292).

Almost surely, 2^{55430704630080} 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 55430704630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105241731364224).

55430704630080 is an abundant number, since it is smaller than the sum of its proper divisors (155052758098368).

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

55430704630080 is a wasteful number, since it uses less digits than its factorization.

55430704630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 55430704630080 in words is "fifty-five trillion, four hundred thirty billion, seven hundred four million, six hundred thirty thousand, eighty".