97503802195968 has 1024 divisors, whose sum is σ = 339189866496000. Its totient is φ = 27105791311872.

The previous prime is 97503802195951. The next prime is 97503802196023. The reversal of 97503802195968 is 86959120830579.

97503802195968 is a `hidden beast` number, since 9 + 7 + 5 + 0 + 3 + 8 + 0 + 21 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 97503802195896 and 97503802195905.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41686104943 + ... + 41686107281.

It is an arithmetic number, because the mean of its divisors is an integer number (331240104000).

Almost surely, 2^{97503802195968} 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 97503802195968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169594933248000).

97503802195968 is an abundant number, since it is smaller than the sum of its proper divisors (241686064300032).

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

97503802195968 is a wasteful number, since it uses less digits than its factorization.

97503802195968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 97503802195968 in words is "ninety-seven trillion, five hundred three billion, eight hundred two million, one hundred ninety-five thousand, nine hundred sixty-eight".