97905395712 has 192 divisors, whose sum is σ = 277334366400. Its totient is φ = 30656102400.

The previous prime is 97905395711. The next prime is 97905395717. The reversal of 97905395712 is 21759350979.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (97905395711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6585087 + ... + 6599937.

It is an arithmetic number, because the mean of its divisors is an integer number (1444449825).

Almost surely, 2^97905395712 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 97905395712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138667183200).

97905395712 is an abundant number, since it is smaller than the sum of its proper divisors (179428970688).

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

97905395712 is a wasteful number, since it uses less digits than its factorization.

97905395712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14942 (or 14922 counting only the distinct ones).

The product of its (nonzero) digits is 5358150, while the sum is 57.

The spelling of 97905395712 in words is "ninety-seven billion, nine hundred five million, three hundred ninety-five thousand, seven hundred twelve".