97852687200 has 288 divisors, whose sum is σ = 356697169920. Its totient is φ = 25887859200.

The previous prime is 97852687199. The next prime is 97852687211. The reversal of 97852687200 is 278625879.

It is a happy number.

97852687200 is a `hidden beast` number, since 97 + 8 + 526 + 8 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×97852687200² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2725365 + ... + 2761035.

It is an arithmetic number, because the mean of its divisors is an integer number (1238531840).

Almost surely, 2^97852687200 is an apocalyptic number.

97852687200 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 97852687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178348584960).

97852687200 is an abundant number, since it is smaller than the sum of its proper divisors (258844482720).

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

97852687200 is a wasteful number, since it uses less digits than its factorization.

97852687200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35827 (or 35808 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 97852687200 in words is "ninety-seven billion, eight hundred fifty-two million, six hundred eighty-seven thousand, two hundred".