96686853120 has 1408 divisors, whose sum is σ = 415316321280. Its totient is φ = 21021327360.

The previous prime is 96686853101. The next prime is 96686853121. The reversal of 96686853120 is 2135868669.

It is a happy number.

96686853120 is a `hidden beast` number, since 9 + 6 + 6 + 86 + 8 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (96686853121) 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, 1324477404 + ... + 1324477476.

Almost surely, 2^96686853120 is an apocalyptic number.

96686853120 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 96686853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207658160640).

96686853120 is an abundant number, since it is smaller than the sum of its proper divisors (318629468160).

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

96686853120 is a wasteful number, since it uses less digits than its factorization.

96686853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 96686853120 in words is "ninety-six billion, six hundred eighty-six million, eight hundred fifty-three thousand, one hundred twenty".