48528726528000 has 416 divisors, whose sum is σ = 161680652340480. Its totient is φ = 12925226188800.

The previous prime is 48528726527929. The next prime is 48528726528053. The reversal of 48528726528000 is 82562782584.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1288685172 + ... + 1288722828.

It is an arithmetic number, because the mean of its divisors is an integer number (388655414280).

Almost surely, 2^{48528726528000} is an apocalyptic number.

48528726528000 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 48528726528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80840326170240).

48528726528000 is an abundant number, since it is smaller than the sum of its proper divisors (113151925812480).

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

48528726528000 is an equidigital number, since it uses as much as digits as its factorization.

48528726528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38538 (or 38506 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 57.

The spelling of 48528726528000 in words is "forty-eight trillion, five hundred twenty-eight billion, seven hundred twenty-six million, five hundred twenty-eight thousand".