97553776896 has 243 divisors, whose sum is σ = 293291844573. Its totient is φ = 32382996480.

The previous prime is 97553776877. The next prime is 97553776897. The reversal of 97553776896 is 69867735579.

The square root of 97553776896 is 312336.

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

97553776896 is a `hidden beast` number, since 9 + 7 + 5 + 537 + 7 + 6 + 89 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73367306496 + 24186470400 = 270864^2 + 155520^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (97553776897) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 404787336 + ... + 404787576.

Almost surely, 2^97553776896 is an apocalyptic number.

97553776896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

97553776896 is the 312336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97553776896

97553776896 is an abundant number, since it is smaller than the sum of its proper divisors (195738067677).

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

97553776896 is an frugal number, since it uses more digits than its factorization.

97553776896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 246 counting only the distinct ones).

The product of its digits is 600112800, while the sum is 72.

The spelling of 97553776896 in words is "ninety-seven billion, five hundred fifty-three million, seven hundred seventy-six thousand, eight hundred ninety-six".