96074253609840 has 480 divisors, whose sum is σ = 352952369602560. Its totient is φ = 23226503731200.

The previous prime is 96074253609797. The next prime is 96074253609889. The reversal of 96074253609840 is 4890635247069.

96074253609840 is a `hidden beast` number, since 9 + 6 + 0 + 7 + 4 + 2 + 536 + 0 + 98 + 4 + 0 = 666.

96074253609840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17458520529 + ... + 17458526031.

It is an arithmetic number, because the mean of its divisors is an integer number (735317436672).

Almost surely, 2^{96074253609840} is an apocalyptic number.

96074253609840 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 96074253609840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176476184801280).

96074253609840 is an abundant number, since it is smaller than the sum of its proper divisors (256878115992720).

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

96074253609840 is a wasteful number, since it uses less digits than its factorization.

96074253609840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11213 (or 11204 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 96074253609840 in words is "ninety-six trillion, seventy-four billion, two hundred fifty-three million, six hundred nine thousand, eight hundred forty".