96298463131200 has 2520 divisors, whose sum is σ = 419593090260960. Its totient is φ = 21574232064000.

The previous prime is 96298463131183. The next prime is 96298463131201. The reversal of 96298463131200 is 213136489269.

96298463131200 is a `hidden beast` number, since 9 + 6 + 29 + 8 + 463 + 131 + 20 + 0 = 666.

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 (96298463131201) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 12215962459 + ... + 12215970341.

It is an arithmetic number, because the mean of its divisors is an integer number (166505194548).

Almost surely, 2^{96298463131200} is an apocalyptic number.

96298463131200 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 96298463131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209796545130480).

96298463131200 is an abundant number, since it is smaller than the sum of its proper divisors (323294627129760).

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

96298463131200 is a wasteful number, since it uses less digits than its factorization.

96298463131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7999 (or 7964 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 96298463131200 in words is "ninety-six trillion, two hundred ninety-eight billion, four hundred sixty-three million, one hundred thirty-one thousand, two hundred".