9855680952 has 128 divisors (see below), whose sum is σ = 27722741760. Its totient is φ = 2899100160.

The previous prime is 9855680951. The next prime is 9855680959. The reversal of 9855680952 is 2590865589.

It is a junction number, because it is equal to n+sod(n) for n = 9855680892 and 9855680901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9855680951) 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, 796638 + ... + 808914.

It is an arithmetic number, because the mean of its divisors is an integer number (216583920).

Almost surely, 2^9855680952 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 9855680952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13861370880).

9855680952 is an abundant number, since it is smaller than the sum of its proper divisors (17867060808).

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

9855680952 is a wasteful number, since it uses less digits than its factorization.

9855680952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12413 (or 12409 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 57.

The square root of 9855680952 is about 99275.7823036414. The cubic root of 9855680952 is about 2144.0202292357.

The spelling of 9855680952 in words is "nine billion, eight hundred fifty-five million, six hundred eighty thousand, nine hundred fifty-two".