96459529320 has 1536 divisors, whose sum is σ = 444762316800. Its totient is φ = 17998848000.

The previous prime is 96459529277. The next prime is 96459529349. The reversal of 96459529320 is 2392595469.

It is a happy number.

96459529320 is a `hidden beast` number, since 9 + 6 + 4 + 595 + 29 + 3 + 20 = 666.

96459529320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1358584885 + ... + 1358584955.

It is an arithmetic number, because the mean of its divisors is an integer number (289558800).

Almost surely, 2^96459529320 is an apocalyptic number.

96459529320 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 96459529320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222381158400).

96459529320 is an abundant number, since it is smaller than the sum of its proper divisors (348302787480).

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

96459529320 is a wasteful number, since it uses less digits than its factorization.

96459529320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 96459529320 in words is "ninety-six billion, four hundred fifty-nine million, five hundred twenty-nine thousand, three hundred twenty".