97956232200 has 180 divisors, whose sum is σ = 340354918365. Its totient is φ = 26111039040.

The previous prime is 97956232159. The next prime is 97956232201. The reversal of 97956232200 is 223265979.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 95997107556 + 1959124644 = 309834^2 + 44262^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=221310.

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

It is not an unprimeable number, because it can be changed into a prime (97956232201) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 39834571 + ... + 39837029.

Almost surely, 2^97956232200 is an apocalyptic number.

97956232200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97956232200

97956232200 is an abundant number, since it is smaller than the sum of its proper divisors (242398686165).

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

97956232200 is an equidigital number, since it uses as much as digits as its factorization.

97956232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 97956232200 in words is "ninety-seven billion, nine hundred fifty-six million, two hundred thirty-two thousand, two hundred".