96465398022400 has 243 divisors, whose sum is σ = 262469814755799. Its totient is φ = 35075183616000.

The previous prime is 96465398022397. The next prime is 96465398022401. The reversal of 96465398022400 is 422089356469.

The square root of 96465398022400 is 9821680.

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 47703444205824 + 48761953816576 = 6906768^2 + 6982976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96465398022401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8643072820 + ... + 8643083980.

Almost surely, 2^{96465398022400} is an apocalyptic number.

96465398022400 is the 9821680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96465398022400

96465398022400 is an abundant number, since it is smaller than the sum of its proper divisors (166004416733399).

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

96465398022400 is an frugal number, since it uses more digits than its factorization.

96465398022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22370 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 58.

The spelling of 96465398022400 in words is "ninety-six trillion, four hundred sixty-five billion, three hundred ninety-eight million, twenty-two thousand, four hundred".