96413546521600 has 891 divisors, whose sum is σ = 305962308284619. Its totient is φ = 30013270425600.

The previous prime is 96413546521577. The next prime is 96413546521603. The reversal of 96413546521600 is 612564531469.

The square root of 96413546521600 is 9819040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2356446045184 + 94057100476416 = 1535072^2 + 9698304^2 .

It is not an unprimeable number, because it can be changed into a prime (96413546521603) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 120970572402 + ... + 120970573198.

Almost surely, 2^{96413546521600} is an apocalyptic number.

96413546521600 is the 9819040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96413546521600

96413546521600 is an abundant number, since it is smaller than the sum of its proper divisors (209548761763019).

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

96413546521600 is an equidigital number, since it uses as much as digits as its factorization.

96413546521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 96413546521600 in words is "ninety-six trillion, four hundred thirteen billion, five hundred forty-six million, five hundred twenty-one thousand, six hundred".