4891056508800 has 2304 divisors, whose sum is σ = 23231453806080. Its totient is φ = 948554956800.

The previous prime is 4891056508781. The next prime is 4891056508843. The reversal of 4891056508800 is 88056501984.

It is a happy number.

4891056508800 is a `hidden beast` number, since 4 + 8 + 9 + 1 + 0 + 56 + 508 + 80 + 0 = 666.

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, 5164789927 + ... + 5164790873.

It is an arithmetic number, because the mean of its divisors is an integer number (10083096270).

Almost surely, 2^{4891056508800} is an apocalyptic number.

4891056508800 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 4891056508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11615726903040).

4891056508800 is an abundant number, since it is smaller than the sum of its proper divisors (18340397297280).

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

4891056508800 is a wasteful number, since it uses less digits than its factorization.

4891056508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 4891056508800 in words is "four trillion, eight hundred ninety-one billion, fifty-six million, five hundred eight thousand, eight hundred".