96069058560 has 768 divisors, whose sum is σ = 366408806400. Its totient is φ = 24078974976.

The previous prime is 96069058549. The next prime is 96069058567. The reversal of 96069058560 is 6585096069.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 96069058497 and 96069058506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96069058567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756449217 + ... + 756449343.

It is an arithmetic number, because the mean of its divisors is an integer number (477094800).

Almost surely, 2^96069058560 is an apocalyptic number.

96069058560 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 96069058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183204403200).

96069058560 is an abundant number, since it is smaller than the sum of its proper divisors (270339747840).

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

96069058560 is an equidigital number, since it uses as much as digits as its factorization.

96069058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 96069058560 in words is "ninety-six billion, sixty-nine million, fifty-eight thousand, five hundred sixty".