96253821504 has 315 divisors, whose sum is σ = 296963786691. Its totient is φ = 30826241280.

The previous prime is 96253821491. The next prime is 96253821511. The reversal of 96253821504 is 40512835269.

The square root of 96253821504 is 310248.

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

96253821504 is a `hidden beast` number, since 9 + 62 + 5 + 3 + 82 + 1 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 96253821504.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 692473467 + ... + 692473605.

Almost surely, 2^96253821504 is an apocalyptic number.

96253821504 is the 310248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96253821504

96253821504 is an abundant number, since it is smaller than the sum of its proper divisors (200709965187).

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

96253821504 is an equidigital number, since it uses as much as digits as its factorization.

96253821504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 96253821504 in words is "ninety-six billion, two hundred fifty-three million, eight hundred twenty-one thousand, five hundred four".