89527904063712 has 192 divisors, whose sum is σ = 263646588280320. Its totient is φ = 29555425152000.

The previous prime is 89527904063669. The next prime is 89527904063713. The reversal of 89527904063712 is 21736040972598.

89527904063712 is a `hidden beast` number, since 8 + 9 + 527 + 9 + 0 + 40 + 63 + 7 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 89527904063712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89527904063713) 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 31 ways as a sum of consecutive naturals, for example, 42146988 + ... + 44220180.

It is an arithmetic number, because the mean of its divisors is an integer number (1373159313960).

It is a 1-persistent number, because it is pandigital, but 2⋅89527904063712 = 179055808127424 is not.

Almost surely, 2^{89527904063712} 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 89527904063712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131823294140160).

89527904063712 is an abundant number, since it is smaller than the sum of its proper divisors (174118684216608).

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

89527904063712 is a wasteful number, since it uses less digits than its factorization.

89527904063712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073694 (or 2073680 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 89527904063712 in words is "eighty-nine trillion, five hundred twenty-seven billion, nine hundred four million, sixty-three thousand, seven hundred twelve".