97849681200 has 720 divisors, whose sum is σ = 371290360896. Its totient is φ = 23769907200.

The previous prime is 97849681187. The next prime is 97849681211. The reversal of 97849681200 is 218694879.

97849681200 is a `hidden beast` number, since 9 + 78 + 496 + 81 + 2 + 0 + 0 = 666.

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

It is a super-2 number, since 2×97849681200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 314629045 + ... + 314629355.

Almost surely, 2^97849681200 is an apocalyptic number.

97849681200 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 97849681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185645180448).

97849681200 is an abundant number, since it is smaller than the sum of its proper divisors (273440679696).

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

97849681200 is a wasteful number, since it uses less digits than its factorization.

97849681200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 97849681200 in words is "ninety-seven billion, eight hundred forty-nine million, six hundred eighty-one thousand, two hundred".