96647136163200 has 1536 divisors, whose sum is σ = 428105456640000. Its totient is φ = 20814727127040.

The previous prime is 96647136163157. The next prime is 96647136163211. The reversal of 96647136163200 is 236163174669.

96647136163200 is a `hidden beast` number, since 9 + 6 + 6 + 4 + 7 + 13 + 616 + 3 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 931944951 + ... + 932048649.

It is an arithmetic number, because the mean of its divisors is an integer number (278714490000).

Almost surely, 2^{96647136163200} is an apocalyptic number.

96647136163200 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 96647136163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214052728320000).

96647136163200 is an abundant number, since it is smaller than the sum of its proper divisors (331458320476800).

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

96647136163200 is a wasteful number, since it uses less digits than its factorization.

96647136163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103829 (or 103806 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 96647136163200 in words is "ninety-six trillion, six hundred forty-seven billion, one hundred thirty-six million, one hundred sixty-three thousand, two hundred".