97888841856 has 768 divisors, whose sum is σ = 337894502400. Its totient is φ = 26913669120.

The previous prime is 97888841789. The next prime is 97888841927. The reversal of 97888841856 is 65814888879.

97888841856 is a `hidden beast` number, since 9 + 7 + 88 + 88 + 418 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 623495730 + ... + 623495886.

It is an arithmetic number, because the mean of its divisors is an integer number (439966800).

Almost surely, 2^97888841856 is an apocalyptic number.

97888841856 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 97888841856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168947251200).

97888841856 is an abundant number, since it is smaller than the sum of its proper divisors (240005660544).

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

97888841856 is a wasteful number, since it uses less digits than its factorization.

97888841856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 302 counting only the distinct ones).

The product of its digits is 247726080, while the sum is 72.

The spelling of 97888841856 in words is "ninety-seven billion, eight hundred eighty-eight million, eight hundred forty-one thousand, eight hundred fifty-six".