97561682215200 has 1152 divisors, whose sum is σ = 421280076349440. Its totient is φ = 21320373657600.

The previous prime is 97561682215187. The next prime is 97561682215237. The reversal of 97561682215200 is 251228616579.

97561682215200 is a `hidden beast` number, since 9 + 7 + 5 + 6 + 16 + 82 + 21 + 520 + 0 = 666.

It is a super-3 number, since 3×97561682215200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 388912212 + ... + 389162988.

It is an arithmetic number, because the mean of its divisors is an integer number (365694510720).

Almost surely, 2^{97561682215200} is an apocalyptic number.

97561682215200 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 97561682215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210640038174720).

97561682215200 is an abundant number, since it is smaller than the sum of its proper divisors (323718394134240).

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

97561682215200 is a wasteful number, since it uses less digits than its factorization.

97561682215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250927 (or 250908 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 97561682215200 in words is "ninety-seven trillion, five hundred sixty-one billion, six hundred eighty-two million, two hundred fifteen thousand, two hundred".