96652506960 has 320 divisors, whose sum is σ = 343708358400. Its totient is φ = 24949112832.

The previous prime is 96652506959. The next prime is 96652507033. The reversal of 96652506960 is 6960525669.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 96652506897 and 96652506906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10490836 + ... + 10500044.

It is an arithmetic number, because the mean of its divisors is an integer number (1074088620).

Almost surely, 2^96652506960 is an apocalyptic number.

96652506960 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 96652506960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171854179200).

96652506960 is an abundant number, since it is smaller than the sum of its proper divisors (247055851440).

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

96652506960 is a wasteful number, since it uses less digits than its factorization.

96652506960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9387 (or 9375 counting only the distinct ones).

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

The spelling of 96652506960 in words is "ninety-six billion, six hundred fifty-two million, five hundred six thousand, nine hundred sixty".