3053360128000 has 1344 divisors, whose sum is σ = 9920064301056. Its totient is φ = 928972800000.

The previous prime is 3053360127977. The next prime is 3053360128003. The reversal of 3053360128000 is 8210633503.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3053360128003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20220927925 + ... + 20220928075.

It is an arithmetic number, because the mean of its divisors is an integer number (7381000224).

Almost surely, 2^{3053360128000} 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 3053360128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960032150528).

3053360128000 is an abundant number, since it is smaller than the sum of its proper divisors (6866704173056).

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

3053360128000 is a wasteful number, since it uses less digits than its factorization.

3053360128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 3053360128000 in words is "three trillion, fifty-three billion, three hundred sixty million, one hundred twenty-eight thousand".