97847761269888 has 256 divisors, whose sum is σ = 330068952729600. Its totient is φ = 27954224575488.

The previous prime is 97847761269877. The next prime is 97847761269889. The reversal of 97847761269888 is 88896216774879.

97847761269888 is a `hidden beast` number, since 9 + 7 + 8 + 477 + 6 + 126 + 9 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×97847761269888² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 97847761269798 and 97847761269807.

It is not an unprimeable number, because it can be changed into a prime (97847761269889) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308604045 + ... + 308920947.

It is an arithmetic number, because the mean of its divisors is an integer number (1289331846600).

Almost surely, 2^{97847761269888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97847761269888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165034476364800).

97847761269888 is an abundant number, since it is smaller than the sum of its proper divisors (232221191459712).

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

97847761269888 is a wasteful number, since it uses less digits than its factorization.

97847761269888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329696 (or 329678 counting only the distinct ones).

The product of its digits is 32774160384, while the sum is 90.

The spelling of 97847761269888 in words is "ninety-seven trillion, eight hundred forty-seven billion, seven hundred sixty-one million, two hundred sixty-nine thousand, eight hundred eighty-eight".