96265909658880 has 720 divisors, whose sum is σ = 382920138822144. Its totient is φ = 22931819642880.

The previous prime is 96265909658861. The next prime is 96265909658981. The reversal of 96265909658880 is 8885690956269.

96265909658880 is a `hidden beast` number, since 9 + 6 + 26 + 5 + 9 + 0 + 9 + 6 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 96265909658880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40631067 + ... + 42935013.

Almost surely, 2^{96265909658880} is an apocalyptic number.

96265909658880 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 96265909658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191460069411072).

96265909658880 is an abundant number, since it is smaller than the sum of its proper divisors (286654229163264).

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

96265909658880 is a wasteful number, since it uses less digits than its factorization.

96265909658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304024 (or 2304001 counting only the distinct ones).

The product of its (nonzero) digits is 4031078400, while the sum is 81.

The spelling of 96265909658880 in words is "ninety-six trillion, two hundred sixty-five billion, nine hundred nine million, six hundred fifty-eight thousand, eight hundred eighty".