97892895911008 has 768 divisors, whose sum is σ = 243799621632000. Its totient is φ = 38121755443200.

The previous prime is 97892895910969. The next prime is 97892895911053. The reversal of 97892895911008 is 80011959829879.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121004815308 + ... + 121004816116.

It is an arithmetic number, because the mean of its divisors is an integer number (317447424000).

Almost surely, 2^{97892895911008} 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 97892895911008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121899810816000).

97892895911008 is an abundant number, since it is smaller than the sum of its proper divisors (145906725720992).

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

97892895911008 is a wasteful number, since it uses less digits than its factorization.

97892895911008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 76.

The spelling of 97892895911008 in words is "ninety-seven trillion, eight hundred ninety-two billion, eight hundred ninety-five million, nine hundred eleven thousand, eight".