89720520048 has 160 divisors (see below), whose sum is σ = 269011353600. Its totient is φ = 28576399104.

The previous prime is 89720520037. The next prime is 89720520049. The reversal of 89720520048 is 84002502798.

89720520048 is a `hidden beast` number, since 89 + 7 + 2 + 0 + 520 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 89720519985 and 89720520012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89720520049) 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 31 ways as a sum of consecutive naturals, for example, 10617361 + ... + 10625807.

It is an arithmetic number, because the mean of its divisors is an integer number (1681320960).

Almost surely, 2^89720520048 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 89720520048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134505676800).

89720520048 is an abundant number, since it is smaller than the sum of its proper divisors (179290833552).

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

89720520048 is a wasteful number, since it uses less digits than its factorization.

89720520048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9556 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 89720520048 in words is "eighty-nine billion, seven hundred twenty million, five hundred twenty thousand, forty-eight".