97796292608000 has 640 divisors, whose sum is σ = 288629580096000. Its totient is φ = 32369541120000.

The previous prime is 97796292607999. The next prime is 97796292608009. The reversal of 97796292608000 is 80629269779.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×97796292608000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97796292608009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13303804325 + ... + 13303811675.

It is an arithmetic number, because the mean of its divisors is an integer number (450983718900).

Almost surely, 2^{97796292608000} 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 97796292608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144314790048000).

97796292608000 is an abundant number, since it is smaller than the sum of its proper divisors (190833287488000).

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

97796292608000 is an frugal number, since it uses more digits than its factorization.

97796292608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7440 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 65.

The spelling of 97796292608000 in words is "ninety-seven trillion, seven hundred ninety-six billion, two hundred ninety-two million, six hundred eight thousand".