89520601248 has 576 divisors, whose sum is σ = 302452899840. Its totient is φ = 25819057152.

The previous prime is 89520601243. The next prime is 89520601249. The reversal of 89520601248 is 84210602598.

89520601248 is a `hidden beast` number, since 89 + 520 + 6 + 0 + 1 + 2 + 48 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (89520601243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243925161 + ... + 243925527.

It is an arithmetic number, because the mean of its divisors is an integer number (525091840).

Almost surely, 2^89520601248 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 89520601248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151226449920).

89520601248 is an abundant number, since it is smaller than the sum of its proper divisors (212932298592).

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

89520601248 is a wasteful number, since it uses less digits than its factorization.

89520601248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 89520601248 in words is "eighty-nine billion, five hundred twenty million, six hundred one thousand, two hundred forty-eight".