97496985600 has 1404 divisors, whose sum is σ = 433510182144. Its totient is φ = 20808990720.

The previous prime is 97496985569. The next prime is 97496985629. The reversal of 97496985600 is 658969479.

It is a happy number.

97496985600 is a `hidden beast` number, since 9 + 7 + 4 + 9 + 69 + 8 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 767692737 + ... + 767692863.

It is an arithmetic number, because the mean of its divisors is an integer number (308767936).

Almost surely, 2^97496985600 is an apocalyptic number.

97496985600 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 97496985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216755091072).

97496985600 is an abundant number, since it is smaller than the sum of its proper divisors (336013196544).

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

97496985600 is a wasteful number, since it uses less digits than its factorization.

97496985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 97496985600 in words is "ninety-seven billion, four hundred ninety-six million, nine hundred eighty-five thousand, six hundred".