97893544519680 has 1152 divisors, whose sum is σ = 388531254908160. Its totient is φ = 20603448852480.

The previous prime is 97893544519663. The next prime is 97893544519697. The reversal of 97893544519680 is 8691544539879.

It is an interprime number because it is at equal distance from previous prime (97893544519663) and next prime (97893544519697).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 97893544519596 and 97893544519605.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15735978970 + ... + 15735985190.

It is an arithmetic number, because the mean of its divisors is an integer number (337266714330).

Almost surely, 2^{97893544519680} 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 97893544519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194265627454080).

97893544519680 is an abundant number, since it is smaller than the sum of its proper divisors (290637710388480).

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

97893544519680 is a wasteful number, since it uses less digits than its factorization.

97893544519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6717 (or 6684 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 78.

The spelling of 97893544519680 in words is "ninety-seven trillion, eight hundred ninety-three billion, five hundred forty-four million, five hundred nineteen thousand, six hundred eighty".