96460511846400 has 3024 divisors, whose sum is σ = 396514897047360. Its totient is φ = 22270574592000.

The previous prime is 96460511846399. The next prime is 96460511846423. The reversal of 96460511846400 is 464811506469.

96460511846400 is a `hidden beast` number, since 9 + 6 + 4 + 6 + 0 + 51 + 184 + 6 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1358598758365 + ... + 1358598758435.

It is an arithmetic number, because the mean of its divisors is an integer number (131122651140).

Almost surely, 2^{96460511846400} is an apocalyptic number.

96460511846400 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 96460511846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198257448523680).

96460511846400 is an abundant number, since it is smaller than the sum of its proper divisors (300054385200960).

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

96460511846400 is a wasteful number, since it uses less digits than its factorization.

96460511846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 96460511846400 in words is "ninety-six trillion, four hundred sixty billion, five hundred eleven million, eight hundred forty-six thousand, four hundred".