5283919872000 has 3840 divisors, whose sum is σ = 26145486581760. Its totient is φ = 1019215872000.

The previous prime is 5283919871981. The next prime is 5283919872089. The reversal of 5283919872000 is 2789193825.

5283919872000 is a `hidden beast` number, since 528 + 3 + 9 + 1 + 98 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 72382463964 + ... + 72382464036.

It is an arithmetic number, because the mean of its divisors is an integer number (6808720464).

Almost surely, 2^{5283919872000} is an apocalyptic number.

5283919872000 is a gapful number since it is divisible by the number (50) 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 5283919872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13072743290880).

5283919872000 is an abundant number, since it is smaller than the sum of its proper divisors (20861566709760).

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

5283919872000 is a wasteful number, since it uses less digits than its factorization.

5283919872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 5283919872000 in words is "five trillion, two hundred eighty-three billion, nine hundred nineteen million, eight hundred seventy-two thousand".