96605591846400 has 1920 divisors, whose sum is σ = 450500366131200. Its totient is φ = 19725012172800.

The previous prime is 96605591846371. The next prime is 96605591846443. The reversal of 96605591846400 is 464819550669.

96605591846400 is a `hidden beast` number, since 9 + 6 + 6 + 0 + 559 + 18 + 4 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×96605591846400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 974888056 + ... + 974987144.

It is an arithmetic number, because the mean of its divisors is an integer number (234635607360).

Almost surely, 2^{96605591846400} is an apocalyptic number.

96605591846400 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 96605591846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225250183065600).

96605591846400 is an abundant number, since it is smaller than the sum of its proper divisors (353894774284800).

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

96605591846400 is a wasteful number, since it uses less digits than its factorization.

96605591846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99177 (or 99150 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 96605591846400 in words is "ninety-six trillion, six hundred five billion, five hundred ninety-one million, eight hundred forty-six thousand, four hundred".