96148684800 has 1344 divisors, whose sum is σ = 426340301760. Its totient is φ = 21021327360.

The previous prime is 96148684771. The next prime is 96148684817. The reversal of 96148684800 is 848684169.

96148684800 is a `hidden beast` number, since 9 + 6 + 1 + 486 + 84 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4180377589 + ... + 4180377611.

Almost surely, 2^96148684800 is an apocalyptic number.

96148684800 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 96148684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213170150880).

96148684800 is an abundant number, since it is smaller than the sum of its proper divisors (330191616960).

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

96148684800 is an frugal number, since it uses more digits than its factorization.

96148684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 96148684800 in words is "ninety-six billion, one hundred forty-eight million, six hundred eighty-four thousand, eight hundred".