96708560400 has 405 divisors, whose sum is σ = 345125858727. Its totient is φ = 25077427200.

The previous prime is 96708560393. The next prime is 96708560419. The reversal of 96708560400 is 406580769.

The square root of 96708560400 is 310980.

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

96708560400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 529184016 + 96179376384 = 23004^2 + 310128^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1324774764 + ... + 1324774836.

Almost surely, 2^96708560400 is an apocalyptic number.

96708560400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

96708560400 is the 310980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96708560400

96708560400 is an abundant number, since it is smaller than the sum of its proper divisors (248417298327).

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

96708560400 is a wasteful number, since it uses less digits than its factorization.

96708560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 96708560400 in words is "ninety-six billion, seven hundred eight million, five hundred sixty thousand, four hundred".