9839252666880 has 5120 divisors, whose sum is σ = 49892806656000. Its totient is φ = 1776493264896.

The previous prime is 9839252666857. The next prime is 9839252666911. The reversal of 9839252666880 is 886662529389.

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

It is a junction number, because it is equal to n+sod(n) for n = 9839252666799 and 9839252666808.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 58917680557 + ... + 58917680723.

It is an arithmetic number, because the mean of its divisors is an integer number (9744688800).

Almost surely, 2^{9839252666880} is an apocalyptic number.

9839252666880 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 9839252666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24946403328000).

9839252666880 is an abundant number, since it is smaller than the sum of its proper divisors (40053553989120).

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

9839252666880 is a wasteful number, since it uses less digits than its factorization.

9839252666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 9839252666880 in words is "nine trillion, eight hundred thirty-nine billion, two hundred fifty-two million, six hundred sixty-six thousand, eight hundred eighty".