4872891073536 has 330 divisors, whose sum is σ = 14625573065070. Its totient is φ = 1616050372608.

The previous prime is 4872891073487. The next prime is 4872891073591. The reversal of 4872891073536 is 6353701982784.

4872891073536 is a `hidden beast` number, since 4 + 8 + 7 + 2 + 8 + 91 + 0 + 7 + 3 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4765663641600 + 107227431936 = 2183040^2 + 327456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11914158900 + ... + 11914159308.

It is an arithmetic number, because the mean of its divisors is an integer number (44319918379).

It is a 1-persistent number, because it is pandigital, but 2⋅4872891073536 = 9745782147072 is not.

Almost surely, 2^{4872891073536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4872891073536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312786532535).

4872891073536 is an abundant number, since it is smaller than the sum of its proper divisors (9752681991534).

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

4872891073536 is an frugal number, since it uses more digits than its factorization.

4872891073536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 4872891073536 in words is "four trillion, eight hundred seventy-two billion, eight hundred ninety-one million, seventy-three thousand, five hundred thirty-six".