97901563200 has 336 divisors, whose sum is σ = 368318759424. Its totient is φ = 22302259200.

The previous prime is 97901563189. The next prime is 97901563219. The reversal of 97901563200 is 236510979.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10310455 + ... + 10319945.

It is an arithmetic number, because the mean of its divisors is an integer number (1096186784).

Almost surely, 2^97901563200 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 97901563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184159379712).

97901563200 is an abundant number, since it is smaller than the sum of its proper divisors (270417196224).

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

97901563200 is a wasteful number, since it uses less digits than its factorization.

97901563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9830 (or 9815 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The spelling of 97901563200 in words is "ninety-seven billion, nine hundred one million, five hundred sixty-three thousand, two hundred".