97141135680 has 168 divisors, whose sum is σ = 346500309792. Its totient is φ = 25904282112.

The previous prime is 97141135577. The next prime is 97141135703. The reversal of 97141135680 is 8653114179.

97141135680 is a `hidden beast` number, since 9 + 71 + 4 + 1 + 13 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546862 + ... + 702381.

It is an arithmetic number, because the mean of its divisors is an integer number (2062501844).

Almost surely, 2^97141135680 is an apocalyptic number.

97141135680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97141135680 is an abundant number, since it is smaller than the sum of its proper divisors (249359174112).

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

97141135680 is a wasteful number, since it uses less digits than its factorization.

97141135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249275 (or 1249253 counting only the distinct ones).

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

The spelling of 97141135680 in words is "ninety-seven billion, one hundred forty-one million, one hundred thirty-five thousand, six hundred eighty".