97858355385879 has 48 divisors (see below), whose sum is σ = 156862593388800. Its totient is φ = 58285036684800.

The previous prime is 97858355385811. The next prime is 97858355385913.

97858355385879 is a `hidden beast` number, since 9 + 7 + 85 + 83 + 5 + 5 + 385 + 8 + 79 = 666.

97858355385879 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 97858355385879 - 2²⁵ = 97858321831447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97858355385809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16544967 + ... + 21666855.

It is an arithmetic number, because the mean of its divisors is an integer number (3267970695600).

Almost surely, 2^{97858355385879} is an apocalyptic number.

97858355385879 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

97858355385879 is a deficient number, since it is larger than the sum of its proper divisors (59004238002921).

97858355385879 is a wasteful number, since it uses less digits than its factorization.

97858355385879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125236 (or 5125233 counting only the distinct ones).

The product of its digits is 91445760000, while the sum is 90.

The spelling of 97858355385879 in words is "ninety-seven trillion, eight hundred fifty-eight billion, three hundred fifty-five million, three hundred eighty-five thousand, eight hundred seventy-nine".