97957484352000 has 2560 divisors, whose sum is σ = 460759409510400. Its totient is φ = 19954335744000.

The previous prime is 97957484351989. The next prime is 97957484352043. The reversal of 97957484352000 is 25348475979.

97957484352000 is a `hidden beast` number, since 9 + 7 + 9 + 574 + 8 + 4 + 3 + 52 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4560181260 + ... + 4560202740.

It is an arithmetic number, because the mean of its divisors is an integer number (179984144340).

Almost surely, 2^{97957484352000} is an apocalyptic number.

97957484352000 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 97957484352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230379704755200).

97957484352000 is an abundant number, since it is smaller than the sum of its proper divisors (362801925158400).

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

97957484352000 is a wasteful number, since it uses less digits than its factorization.

97957484352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21572 (or 21540 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 97957484352000 in words is "ninety-seven trillion, nine hundred fifty-seven billion, four hundred eighty-four million, three hundred fifty-two thousand".