96814636513920 has 576 divisors, whose sum is σ = 362569489027200. Its totient is φ = 23794306818048.

The previous prime is 96814636513873. The next prime is 96814636513921. The reversal of 96814636513920 is 2931563641869.

96814636513920 is a `hidden beast` number, since 9 + 6 + 81 + 4 + 6 + 36 + 513 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×96814636513920³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (96814636513921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 629738821 + ... + 629892539.

It is an arithmetic number, because the mean of its divisors is an integer number (629460918450).

Almost surely, 2^{96814636513920} is an apocalyptic number.

96814636513920 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 96814636513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181284744513600).

96814636513920 is an abundant number, since it is smaller than the sum of its proper divisors (265754852513280).

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

96814636513920 is a wasteful number, since it uses less digits than its factorization.

96814636513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154417 (or 154389 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 96814636513920 in words is "ninety-six trillion, eight hundred fourteen billion, six hundred thirty-six million, five hundred thirteen thousand, nine hundred twenty".