96869424960 has 2016 divisors, whose sum is σ = 458440657920. Its totient is φ = 19160064000.

The previous prime is 96869424959. The next prime is 96869424961. The reversal of 96869424960 is 6942496869.

96869424960 is a `hidden beast` number, since 9 + 68 + 69 + 424 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96869424959) and next prime (96869424961).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96869424961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1588023330 + ... + 1588023390.

It is an arithmetic number, because the mean of its divisors is an integer number (227401120).

Almost surely, 2^96869424960 is an apocalyptic number.

96869424960 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 96869424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229220328960).

96869424960 is an abundant number, since it is smaller than the sum of its proper divisors (361571232960).

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

96869424960 is a wasteful number, since it uses less digits than its factorization.

96869424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 96869424960 in words is "ninety-six billion, eight hundred sixty-nine million, four hundred twenty-four thousand, nine hundred sixty".