102720568986048 has 896 divisors, whose sum is σ = 322567384043520. Its totient is φ = 28558853406720.

The previous prime is 102720568986043. The next prime is 102720568986149. The reversal of 102720568986048 is 840689865027201.

It is a self number, because there is not a number n which added to its sum of digits gives 102720568986048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102720568986041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34738100986 + ... + 34738103942.

It is an arithmetic number, because the mean of its divisors is an integer number (360008241120).

Almost surely, 2^{102720568986048} 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 102720568986048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161283692021760).

102720568986048 is an abundant number, since it is smaller than the sum of its proper divisors (219846815057472).

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

102720568986048 is a wasteful number, since it uses less digits than its factorization.

102720568986048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 102720568986048 in words is "one hundred two trillion, seven hundred twenty billion, five hundred sixty-eight million, nine hundred eighty-six thousand, forty-eight".