4785580800000 has 3456 divisors, whose sum is σ = 23475132495360. Its totient is φ = 906854400000.

The previous prime is 4785580799969. The next prime is 4785580800017. The reversal of 4785580800000 is 80855874.

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, 57657599959 + ... + 57657600041.

It is an arithmetic number, because the mean of its divisors is an integer number (6792573060).

Almost surely, 2^{4785580800000} is an apocalyptic number.

4785580800000 is a gapful number since it is divisible by the number (40) 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 4785580800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11737566247680).

4785580800000 is an abundant number, since it is smaller than the sum of its proper divisors (18689551695360).

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

4785580800000 is a wasteful number, since it uses less digits than its factorization.

4785580800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 4785580800000 in words is "four trillion, seven hundred eighty-five billion, five hundred eighty million, eight hundred thousand".