97745695488000 has 2304 divisors, whose sum is σ = 422830562918400. Its totient is φ = 22210191360000.

The previous prime is 97745695487983. The next prime is 97745695488043. The reversal of 97745695488000 is 88459654779.

97745695488000 is a `hidden beast` number, since 9 + 7 + 7 + 4 + 56 + 95 + 488 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 97745695488000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64689407245 + ... + 64689408755.

It is an arithmetic number, because the mean of its divisors is an integer number (183520209600).

Almost surely, 2^{97745695488000} is an apocalyptic number.

97745695488000 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 97745695488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211415281459200).

97745695488000 is an abundant number, since it is smaller than the sum of its proper divisors (325084867430400).

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

97745695488000 is a wasteful number, since it uses less digits than its factorization.

97745695488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 97745695488000 in words is "ninety-seven trillion, seven hundred forty-five billion, six hundred ninety-five million, four hundred eighty-eight thousand".