97685143101000 has 1920 divisors, whose sum is σ = 428609993011200. Its totient is φ = 20569939891200.

The previous prime is 97685143100953. The next prime is 97685143101017. The reversal of 97685143101000 is 10134158679.

97685143101000 is a `hidden beast` number, since 9 + 7 + 68 + 51 + 431 + 0 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 31319377441 + ... + 31319380559.

It is an arithmetic number, because the mean of its divisors is an integer number (223234371360).

Almost surely, 2^{97685143101000} is an apocalyptic number.

97685143101000 is a gapful number since it is divisible by the number (90) 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 97685143101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214304996505600).

97685143101000 is an abundant number, since it is smaller than the sum of its proper divisors (330924849910200).

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

97685143101000 is a wasteful number, since it uses less digits than its factorization.

97685143101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

Adding to 97685143101000 its reverse (10134158679), we get a palindrome (97695277259679).

The spelling of 97685143101000 in words is "ninety-seven trillion, six hundred eighty-five billion, one hundred forty-three million, one hundred one thousand".