97911772000 has 768 divisors, whose sum is σ = 310275463680. Its totient is φ = 29589504000.

The previous prime is 97911771973. The next prime is 97911772009. The reversal of 97911772000 is 27711979.

97911772000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97911772009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 565963914 + ... + 565964086.

It is an arithmetic number, because the mean of its divisors is an integer number (404004510).

Almost surely, 2^97911772000 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 97911772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155137731840).

97911772000 is an abundant number, since it is smaller than the sum of its proper divisors (212363691680).

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

97911772000 is a wasteful number, since it uses less digits than its factorization.

97911772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 43.

The spelling of 97911772000 in words is "ninety-seven billion, nine hundred eleven million, seven hundred seventy-two thousand".