97801869312 has 768 divisors, whose sum is σ = 356638464000. Its totient is φ = 25848446976.

The previous prime is 97801869289. The next prime is 97801869343. The reversal of 97801869312 is 21396810879.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 585639853 + ... + 585640019.

It is an arithmetic number, because the mean of its divisors is an integer number (464373000).

Almost surely, 2^97801869312 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 97801869312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232000).

97801869312 is an abundant number, since it is smaller than the sum of its proper divisors (258836594688).

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

97801869312 is a wasteful number, since it uses less digits than its factorization.

97801869312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 97801869312 in words is "ninety-seven billion, eight hundred one million, eight hundred sixty-nine thousand, three hundred twelve".