48997880553216 has 576 divisors, whose sum is σ = 156085792128000. Its totient is φ = 13635062267904.

The previous prime is 48997880553211. The next prime is 48997880553233. The reversal of 48997880553216 is 61235508879984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48997880553211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1570781716 + ... + 1570812908.

It is an arithmetic number, because the mean of its divisors is an integer number (270982278000).

It is a 1-persistent number, because it is pandigital, but 2⋅48997880553216 = 97995761106432 is not.

Almost surely, 2^{48997880553216} 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 48997880553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78042896064000).

48997880553216 is an abundant number, since it is smaller than the sum of its proper divisors (107087911574784).

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

48997880553216 is an equidigital number, since it uses as much as digits as its factorization.

48997880553216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31389 (or 31361 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 75.

The spelling of 48997880553216 in words is "forty-eight trillion, nine hundred ninety-seven billion, eight hundred eighty million, five hundred fifty-three thousand, two hundred sixteen".