97441512960000 has 3120 divisors, whose sum is σ = 384218389158912. Its totient is φ = 21886402560000.

The previous prime is 97441512959981. The next prime is 97441512960013. The reversal of 97441512960000 is 6921514479.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1004551679952 + ... + 1004551680048.

Almost surely, 2^{97441512960000} 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 97441512960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192109194579456).

97441512960000 is an abundant number, since it is smaller than the sum of its proper divisors (286776876198912).

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

97441512960000 is a wasteful number, since it uses less digits than its factorization.

97441512960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 97441512960000 in words is "ninety-seven trillion, four hundred forty-one billion, five hundred twelve million, nine hundred sixty thousand".