96611880960 has 936 divisors, whose sum is σ = 410785858080. Its totient is φ = 20883308544.

The previous prime is 96611880853. The next prime is 96611880997. The reversal of 96611880960 is 6908811669.

It is a junction number, because it is equal to n+sod(n) for n = 96611880897 and 96611880906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171601639 + ... + 171602201.

It is an arithmetic number, because the mean of its divisors is an integer number (438873780).

Almost surely, 2^96611880960 is an apocalyptic number.

96611880960 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 96611880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205392929040).

96611880960 is an abundant number, since it is smaller than the sum of its proper divisors (314173977120).

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

96611880960 is a wasteful number, since it uses less digits than its factorization.

96611880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 96611880960 in words is "ninety-six billion, six hundred eleven million, eight hundred eighty thousand, nine hundred sixty".