96495978240 has 288 divisors, whose sum is σ = 349718261760. Its totient is φ = 25184342016.

The previous prime is 96495978239. The next prime is 96495978329. The reversal of 96495978240 is 4287959469.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×96495978240² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1594617 + ... + 1654023.

It is an arithmetic number, because the mean of its divisors is an integer number (1214299520).

Almost surely, 2^96495978240 is an apocalyptic number.

96495978240 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 96495978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174859130880).

96495978240 is an abundant number, since it is smaller than the sum of its proper divisors (253222283520).

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

96495978240 is a wasteful number, since it uses less digits than its factorization.

96495978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59484 (or 59464 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 96495978240 in words is "ninety-six billion, four hundred ninety-five million, nine hundred seventy-eight thousand, two hundred forty".