97891763200 has 528 divisors, whose sum is σ = 308565500544. Its totient is φ = 29904076800.

The previous prime is 97891763143. The next prime is 97891763209. The reversal of 97891763200 is 236719879.

It is not an unprimeable number, because it can be changed into a prime (97891763209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104473132 + ... + 104474068.

Almost surely, 2^97891763200 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 97891763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154282750272).

97891763200 is an abundant number, since it is smaller than the sum of its proper divisors (210673737344).

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

97891763200 is a wasteful number, since it uses less digits than its factorization.

97891763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 97891763200 in words is "ninety-seven billion, eight hundred ninety-one million, seven hundred sixty-three thousand, two hundred".