96442085376 has 936 divisors, whose sum is σ = 367869605040. Its totient is φ = 24747835392.

The previous prime is 96442085371. The next prime is 96442085429. The reversal of 96442085376 is 67358024469.

96442085376 is a `hidden beast` number, since 9 + 64 + 4 + 208 + 5 + 376 = 666.

96442085376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-2 number, since 2×96442085376² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96442085371) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2606542830 + ... + 2606542866.

Almost surely, 2^96442085376 is an apocalyptic number.

96442085376 is a gapful number since it is divisible by the number (96) 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 96442085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183934802520).

96442085376 is an abundant number, since it is smaller than the sum of its proper divisors (271427519664).

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

96442085376 is a wasteful number, since it uses less digits than its factorization.

96442085376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 96442085376 in words is "ninety-six billion, four hundred forty-two million, eighty-five thousand, three hundred seventy-six".