97256211712 has 288 divisors, whose sum is σ = 232266424320. Its totient is φ = 40178688000.

The previous prime is 97256211709. The next prime is 97256211719. The reversal of 97256211712 is 21711265279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97256211719) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 118460262 + ... + 118461082.

It is an arithmetic number, because the mean of its divisors is an integer number (806480640).

Almost surely, 2^97256211712 is an apocalyptic number.

97256211712 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97256211712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116133212160).

97256211712 is an abundant number, since it is smaller than the sum of its proper divisors (135010212608).

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

97256211712 is a wasteful number, since it uses less digits than its factorization.

97256211712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 947 counting only the distinct ones).

The product of its digits is 105840, while the sum is 43.

The spelling of 97256211712 in words is "ninety-seven billion, two hundred fifty-six million, two hundred eleven thousand, seven hundred twelve".