97394659200 has 1440 divisors, whose sum is σ = 410317688880. Its totient is φ = 22627123200.

The previous prime is 97394659199. The next prime is 97394659253. The reversal of 97394659200 is 295649379.

97394659200 is a `hidden beast` number, since 9 + 7 + 3 + 9 + 46 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3141763185 + ... + 3141763215.

Almost surely, 2^97394659200 is an apocalyptic number.

97394659200 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 97394659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205158844440).

97394659200 is an abundant number, since it is smaller than the sum of its proper divisors (312923029680).

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

97394659200 is a wasteful number, since it uses less digits than its factorization.

97394659200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 97394659200 in words is "ninety-seven billion, three hundred ninety-four million, six hundred fifty-nine thousand, two hundred".