97485681676032 has 1440 divisors, whose sum is σ = 343701018460800. Its totient is φ = 27193189072896.

The previous prime is 97485681676007. The next prime is 97485681676079. The reversal of 97485681676032 is 23067618658479.

97485681676032 is a `hidden beast` number, since 9 + 7 + 4 + 8 + 5 + 6 + 8 + 1 + 6 + 7 + 603 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 96616135944 + ... + 96616136952.

It is an arithmetic number, because the mean of its divisors is an integer number (238681262820).

It is a 1-persistent number, because it is pandigital, but 2⋅97485681676032 = 194971363352064 is not.

Almost surely, 2^{97485681676032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97485681676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171850509230400).

97485681676032 is an abundant number, since it is smaller than the sum of its proper divisors (246215336784768).

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

97485681676032 is a wasteful number, since it uses less digits than its factorization.

97485681676032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 97485681676032 in words is "ninety-seven trillion, four hundred eighty-five billion, six hundred eighty-one million, six hundred seventy-six thousand, thirty-two".