4887119938800 has 480 divisors, whose sum is σ = 18435339348480. Its totient is φ = 1094165811200.

The previous prime is 4887119938787. The next prime is 4887119938807. The reversal of 4887119938800 is 88399117884.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4887119938807) 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, 8526862 + ... + 9081938.

It is an arithmetic number, because the mean of its divisors is an integer number (38406956976).

Almost surely, 2^{4887119938800} is an apocalyptic number.

4887119938800 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 4887119938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217669674240).

4887119938800 is an abundant number, since it is smaller than the sum of its proper divisors (13548219409680).

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

4887119938800 is a wasteful number, since it uses less digits than its factorization.

4887119938800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555161 (or 555150 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 66.

The spelling of 4887119938800 in words is "four trillion, eight hundred eighty-seven billion, one hundred nineteen million, nine hundred thirty-eight thousand, eight hundred".