4780892160000 has 1700 divisors, whose sum is σ = 19619963464464. Its totient is φ = 1150156800000.

The previous prime is 4780892159999. The next prime is 4780892160043. The reversal of 4780892160000 is 612980874.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 36495359935 + ... + 36495360065.

Almost surely, 2^{4780892160000} is an apocalyptic number.

4780892160000 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 4780892160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9809981732232).

4780892160000 is an abundant number, since it is smaller than the sum of its proper divisors (14839071304464).

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

4780892160000 is an frugal number, since it uses more digits than its factorization.

4780892160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 4780892160000 in words is "four trillion, seven hundred eighty billion, eight hundred ninety-two million, one hundred sixty thousand".