96526503360 has 1344 divisors, whose sum is σ = 416799613440. Its totient is φ = 20948336640.

The previous prime is 96526503323. The next prime is 96526503373. The reversal of 96526503360 is 6330562569.

96526503360 is a `hidden beast` number, since 9 + 65 + 26 + 503 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1162969879 + ... + 1162969961.

It is an arithmetic number, because the mean of its divisors is an integer number (310118760).

Almost surely, 2^96526503360 is an apocalyptic number.

96526503360 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96526503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208399806720).

96526503360 is an abundant number, since it is smaller than the sum of its proper divisors (320273110080).

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

96526503360 is a wasteful number, since it uses less digits than its factorization.

96526503360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 96526503360 in words is "ninety-six billion, five hundred twenty-six million, five hundred three thousand, three hundred sixty".