4889686828800 has 216 divisors, whose sum is σ = 16167873078784. Its totient is φ = 1301420666880.

The previous prime is 4889686828781. The next prime is 4889686828907. The reversal of 4889686828800 is 88286869884.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9798129 + ... + 10285071.

Almost surely, 2^{4889686828800} is an apocalyptic number.

4889686828800 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 4889686828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083936539392).

4889686828800 is an abundant number, since it is smaller than the sum of its proper divisors (11278186249984).

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

4889686828800 is a wasteful number, since it uses less digits than its factorization.

4889686828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487495 (or 487476 counting only the distinct ones).

The product of its (nonzero) digits is 679477248, while the sum is 75.

The spelling of 4889686828800 in words is "four trillion, eight hundred eighty-nine billion, six hundred eighty-six million, eight hundred twenty-eight thousand, eight hundred".