97799656953600 has 864 divisors, whose sum is σ = 418217607360000. Its totient is φ = 22354193756160.

The previous prime is 97799656953569. The next prime is 97799656953617. The reversal of 97799656953600 is 635965699779.

97799656953600 is a `hidden beast` number, since 9 + 7 + 79 + 9 + 6 + 5 + 6 + 9 + 536 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 97799656953600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58445371 + ... + 60095429.

Almost surely, 2^{97799656953600} is an apocalyptic number.

97799656953600 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 97799656953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209108803680000).

97799656953600 is an abundant number, since it is smaller than the sum of its proper divisors (320417950406400).

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

97799656953600 is a wasteful number, since it uses less digits than its factorization.

97799656953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650115 (or 1650076 counting only the distinct ones).

The product of its (nonzero) digits is 5208121800, while the sum is 81.

The spelling of 97799656953600 in words is "ninety-seven trillion, seven hundred ninety-nine billion, six hundred fifty-six million, nine hundred fifty-three thousand, six hundred".