97368620227200 has 960 divisors, whose sum is σ = 412333603513920. Its totient is φ = 22255583846400.

The previous prime is 97368620227199. The next prime is 97368620227211. The reversal of 97368620227200 is 272202686379.

97368620227200 is a `hidden beast` number, since 9 + 7 + 3 + 6 + 8 + 620 + 2 + 2 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 440788780 + ... + 441009620.

It is an arithmetic number, because the mean of its divisors is an integer number (429514170327).

Almost surely, 2^{97368620227200} is an apocalyptic number.

97368620227200 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 97368620227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206166801756960).

97368620227200 is an abundant number, since it is smaller than the sum of its proper divisors (314964983286720).

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

97368620227200 is an frugal number, since it uses more digits than its factorization.

97368620227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220899 (or 220858 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 97368620227200 in words is "ninety-seven trillion, three hundred sixty-eight billion, six hundred twenty million, two hundred twenty-seven thousand, two hundred".