3055505180400 has 360 divisors, whose sum is σ = 10977898932000. Its totient is φ = 786072913920.

The previous prime is 3055505180359. The next prime is 3055505180437. The reversal of 3055505180400 is 40815055503.

It is a happy number.

3055505180400 is a `hidden beast` number, since 3 + 0 + 55 + 50 + 518 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3055505180400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137692506 + ... + 137714694.

It is an arithmetic number, because the mean of its divisors is an integer number (30494163700).

Almost surely, 2^{3055505180400} is an apocalyptic number.

3055505180400 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 3055505180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488949466000).

3055505180400 is an abundant number, since it is smaller than the sum of its proper divisors (7922393751600).

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

3055505180400 is a wasteful number, since it uses less digits than its factorization.

3055505180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23561 (or 23547 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 3055505180400 in words is "three trillion, fifty-five billion, five hundred five million, one hundred eighty thousand, four hundred".