96882186240 has 768 divisors, whose sum is σ = 397963238400. Its totient is φ = 21898985472.

The previous prime is 96882186229. The next prime is 96882186277. The reversal of 96882186240 is 4268128869.

96882186240 is a `hidden beast` number, since 9 + 6 + 8 + 8 + 2 + 1 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218695459 + ... + 218695901.

It is an arithmetic number, because the mean of its divisors is an integer number (518181300).

Almost surely, 2^96882186240 is an apocalyptic number.

96882186240 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 96882186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198981619200).

96882186240 is an abundant number, since it is smaller than the sum of its proper divisors (301081052160).

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

96882186240 is a wasteful number, since it uses less digits than its factorization.

96882186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 96882186240 in words is "ninety-six billion, eight hundred eighty-two million, one hundred eighty-six thousand, two hundred forty".