3055652812800 has 1440 divisors, whose sum is σ = 13135675512960. Its totient is φ = 687572582400.

The previous prime is 3055652812781. The next prime is 3055652812837. The reversal of 3055652812800 is 82182565503.

3055652812800 is a `hidden beast` number, since 3 + 0 + 5 + 565 + 2 + 8 + 1 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3055652812800² (a number of 26 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 1945036015 + ... + 1945037585.

It is an arithmetic number, because the mean of its divisors is an integer number (9121996884).

Almost surely, 2^{3055652812800} is an apocalyptic number.

3055652812800 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 3055652812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567837756480).

3055652812800 is an abundant number, since it is smaller than the sum of its proper divisors (10080022700160).

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

3055652812800 is a wasteful number, since it uses less digits than its factorization.

3055652812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 3055652812800 in words is "three trillion, fifty-five billion, six hundred fifty-two million, eight hundred twelve thousand, eight hundred".