96546367180800 has 936 divisors, whose sum is σ = 358982794333800. Its totient is φ = 24771066593280.

The previous prime is 96546367180793. The next prime is 96546367180807. The reversal of 96546367180800 is 808176364569.

96546367180800 is a `hidden beast` number, since 9 + 6 + 546 + 3 + 6 + 7 + 1 + 8 + 0 + 80 + 0 = 666.

96546367180800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (96546367180793) and next prime (96546367180807).

It can be written as a sum of positive squares in 12 ways, for example, as 32631330963456 + 63915036217344 = 5712384^2 + 7994688^2 .

It is not an unprimeable number, because it can be changed into a prime (96546367180807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7830829036 + ... + 7830841364.

It is an arithmetic number, because the mean of its divisors is an integer number (383528626425).

Almost surely, 2^{96546367180800} is an apocalyptic number.

96546367180800 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 96546367180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179491397166900).

96546367180800 is an abundant number, since it is smaller than the sum of its proper divisors (262436427153000).

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

96546367180800 is a wasteful number, since it uses less digits than its factorization.

96546367180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12691 (or 12661 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 96546367180800 in words is "ninety-six trillion, five hundred forty-six billion, three hundred sixty-seven million, one hundred eighty thousand, eight hundred".