97385494891776 has 2160 divisors, whose sum is σ = 342981505278720. Its totient is φ = 24498684887040.

The previous prime is 97385494891691. The next prime is 97385494891787. The reversal of 97385494891776 is 67719849458379.

It is a super-2 number, since 2×97385494891776² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97385494891692 and 97385494891701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 893444907210 + ... + 893444907318.

Almost surely, 2^{97385494891776} is an apocalyptic number.

97385494891776 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97385494891776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171490752639360).

97385494891776 is an abundant number, since it is smaller than the sum of its proper divisors (245596010386944).

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

97385494891776 is a wasteful number, since it uses less digits than its factorization.

97385494891776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 242 counting only the distinct ones).

The product of its digits is 23044331520, while the sum is 87.

The spelling of 97385494891776 in words is "ninety-seven trillion, three hundred eighty-five billion, four hundred ninety-four million, eight hundred ninety-one thousand, seven hundred seventy-six".