97438723200 has 1920 divisors, whose sum is σ = 470508635520. Its totient is φ = 19349176320.

The previous prime is 97438723171. The next prime is 97438723229. The reversal of 97438723200 is 232783479.

97438723200 is a `hidden beast` number, since 9 + 7 + 438 + 7 + 2 + 3 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (97438723171) and next prime (97438723229).

It is a tau number, because it is divible by the number of its divisors (1920).

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5731689592 + ... + 5731689608.

It is an arithmetic number, because the mean of its divisors is an integer number (245056581).

Almost surely, 2^97438723200 is an apocalyptic number.

97438723200 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 97438723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235254317760).

97438723200 is an abundant number, since it is smaller than the sum of its proper divisors (373069912320).

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

97438723200 is an equidigital number, since it uses as much as digits as its factorization.

97438723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 97438723200 in words is "ninety-seven billion, four hundred thirty-eight million, seven hundred twenty-three thousand, two hundred".