3055584430080 has 3456 divisors, whose sum is σ = 14485861877760. Its totient is φ = 588597166080.

The previous prime is 3055584430079. The next prime is 3055584430099. The reversal of 3055584430080 is 800344855503.

3055584430080 is a `hidden beast` number, since 30 + 5 + 5 + 584 + 4 + 30 + 0 + 8 + 0 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41857320924 + ... + 41857320996.

It is an arithmetic number, because the mean of its divisors is an integer number (4191510960).

Almost surely, 2^{3055584430080} is an apocalyptic number.

3055584430080 is a gapful number since it is divisible by the number (30) 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 3055584430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242930938880).

3055584430080 is an abundant number, since it is smaller than the sum of its proper divisors (11430277447680).

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

3055584430080 is a wasteful number, since it uses less digits than its factorization.

3055584430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 3055584430080 in words is "three trillion, fifty-five billion, five hundred eighty-four million, four hundred thirty thousand, eighty".