97283779200 has 576 divisors, whose sum is σ = 354267950400. Its totient is φ = 25416007680.

The previous prime is 97283779189. The next prime is 97283779261. The reversal of 97283779200 is 297738279.

97283779200 is a `hidden beast` number, since 97 + 283 + 7 + 79 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 543484711 + ... + 543484889.

It is an arithmetic number, because the mean of its divisors is an integer number (615048525).

Almost surely, 2^97283779200 is an apocalyptic number.

97283779200 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 97283779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177133975200).

97283779200 is an abundant number, since it is smaller than the sum of its proper divisors (256984171200).

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

97283779200 is a wasteful number, since it uses less digits than its factorization.

97283779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 97283779200 in words is "ninety-seven billion, two hundred eighty-three million, seven hundred seventy-nine thousand, two hundred".