97771123200 has 480 divisors, whose sum is σ = 347992584192. Its totient is φ = 24127488000.

The previous prime is 97771123199. The next prime is 97771123213. The reversal of 97771123200 is 232117779.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27377415 + ... + 27380985.

Almost surely, 2^97771123200 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 97771123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173996292096).

97771123200 is an abundant number, since it is smaller than the sum of its proper divisors (250221460992).

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

97771123200 is a wasteful number, since it uses less digits than its factorization.

97771123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 39.

The spelling of 97771123200 in words is "ninety-seven billion, seven hundred seventy-one million, one hundred twenty-three thousand, two hundred".