96248575440 has 120 divisors (see below), whose sum is σ = 323317743840. Its totient is φ = 25659700992.

The previous prime is 96248575399. The next prime is 96248575463. The reversal of 96248575440 is 4457584269.

96248575440 is a `hidden beast` number, since 9 + 6 + 2 + 48 + 57 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 3212851 + ... + 3242669.

It is an arithmetic number, because the mean of its divisors is an integer number (2694314532).

Almost surely, 2^96248575440 is an apocalyptic number.

96248575440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96248575440 is an abundant number, since it is smaller than the sum of its proper divisors (227069168400).

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

96248575440 is a wasteful number, since it uses less digits than its factorization.

96248575440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34321 (or 34312 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 96248575440 in words is "ninety-six billion, two hundred forty-eight million, five hundred seventy-five thousand, four hundred forty".