96743105851392 has 2496 divisors, whose sum is σ = 395096662033920. Its totient is φ = 22993934745600.

The previous prime is 96743105851387. The next prime is 96743105851451. The reversal of 96743105851392 is 29315850134769.

96743105851392 is a `hidden beast` number, since 9 + 6 + 7 + 4 + 3 + 10 + 585 + 1 + 39 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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, 101514276388 + ... + 101514277340.

It is a 1-persistent number, because it is pandigital, but 2⋅96743105851392 = 193486211702784 is not.

Almost surely, 2^{96743105851392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96743105851392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197548331016960).

96743105851392 is an abundant number, since it is smaller than the sum of its proper divisors (298353556182528).

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

96743105851392 is a wasteful number, since it uses less digits than its factorization.

96743105851392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 96743105851392 in words is "ninety-six trillion, seven hundred forty-three billion, one hundred five million, eight hundred fifty-one thousand, three hundred ninety-two".