97680912000 has 1024 divisors, whose sum is σ = 400982400000. Its totient is φ = 20953497600.

The previous prime is 97680911987. The next prime is 97680912073. The reversal of 97680912000 is 21908679.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 279887826 + ... + 279888174.

It is an arithmetic number, because the mean of its divisors is an integer number (391584375).

Almost surely, 2^97680912000 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 97680912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200000).

97680912000 is an abundant number, since it is smaller than the sum of its proper divisors (303301488000).

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

97680912000 is a wasteful number, since it uses less digits than its factorization.

97680912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 97680912000 in words is "ninety-seven billion, six hundred eighty million, nine hundred twelve thousand".