48820099702528 has 1296 divisors, whose sum is σ = 135855566703360. Its totient is φ = 17142874214400.

The previous prime is 48820099702523. The next prime is 48820099702553. The reversal of 48820099702528 is 82520799002884.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 48820099702528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48820099702523) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 827459316963 + ... + 827459317021.

It is an arithmetic number, because the mean of its divisors is an integer number (104826826160).

Almost surely, 2^{48820099702528} 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 48820099702528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67927783351680).

48820099702528 is an abundant number, since it is smaller than the sum of its proper divisors (87035467000832).

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

48820099702528 is an equidigital number, since it uses as much as digits as its factorization.

48820099702528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 64.

The spelling of 48820099702528 in words is "forty-eight trillion, eight hundred twenty billion, ninety-nine million, seven hundred two thousand, five hundred twenty-eight".