97444569600 has 720 divisors, whose sum is σ = 401714913600. Its totient is φ = 22096281600.

The previous prime is 97444569589. The next prime is 97444569613. The reversal of 97444569600 is 696544479.

It is a happy number.

97444569600 is a `hidden beast` number, since 9 + 74 + 4 + 4 + 569 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120153195 + ... + 120154005.

It is an arithmetic number, because the mean of its divisors is an integer number (557937380).

Almost surely, 2^97444569600 is an apocalyptic number.

97444569600 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 97444569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200857456800).

97444569600 is an abundant number, since it is smaller than the sum of its proper divisors (304270344000).

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

97444569600 is a wasteful number, since it uses less digits than its factorization.

97444569600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 97444569600 in words is "ninety-seven billion, four hundred forty-four million, five hundred sixty-nine thousand, six hundred".