97753448116800 has 1680 divisors, whose sum is σ = 440313203151360. Its totient is φ = 20762860584960.

The previous prime is 97753448116771. The next prime is 97753448116813. The reversal of 97753448116800 is 861184435779.

97753448116800 is a `hidden beast` number, since 9 + 7 + 7 + 534 + 4 + 8 + 1 + 16 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1218329484 + ... + 1218409716.

It is an arithmetic number, because the mean of its divisors is an integer number (262091192352).

Almost surely, 2^{97753448116800} is an apocalyptic number.

97753448116800 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 97753448116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220156601575680).

97753448116800 is an abundant number, since it is smaller than the sum of its proper divisors (342559755034560).

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

97753448116800 is a wasteful number, since it uses less digits than its factorization.

97753448116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80370 (or 80346 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 97753448116800 in words is "ninety-seven trillion, seven hundred fifty-three billion, four hundred forty-eight million, one hundred sixteen thousand, eight hundred".