96353832960 has 1664 divisors, whose sum is σ = 446890475520. Its totient is φ = 19110297600.

The previous prime is 96353832941. The next prime is 96353832961. The reversal of 96353832960 is 6923835369.

It is a super-2 number, since 2×96353832960² (a number of 23 digits) contains 22 as substring.

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 = 96353832897 and 96353832906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96353832961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1319915484 + ... + 1319915556.

Almost surely, 2^96353832960 is an apocalyptic number.

96353832960 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 96353832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223445237760).

96353832960 is an abundant number, since it is smaller than the sum of its proper divisors (350536642560).

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

96353832960 is a wasteful number, since it uses less digits than its factorization.

96353832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 96353832960 in words is "ninety-six billion, three hundred fifty-three million, eight hundred thirty-two thousand, nine hundred sixty".