4880686356000 has 1728 divisors, whose sum is σ = 21798938318976. Its totient is φ = 1025063424000.

The previous prime is 4880686355989. The next prime is 4880686356011. The reversal of 4880686356000 is 6536860884.

It is an interprime number because it is at equal distance from previous prime (4880686355989) and next prime (4880686356011).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7590491679 + ... + 7590492321.

It is an arithmetic number, because the mean of its divisors is an integer number (12615126342).

Almost surely, 2^{4880686356000} is an apocalyptic number.

4880686356000 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 4880686356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10899469159488).

4880686356000 is an abundant number, since it is smaller than the sum of its proper divisors (16918251962976).

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

4880686356000 is a wasteful number, since it uses less digits than its factorization.

4880686356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4880686356000 in words is "four trillion, eight hundred eighty billion, six hundred eighty-six million, three hundred fifty-six thousand".