11485858942960 has 80 divisors (see below), whose sum is σ = 27455897620800. Its totient is φ = 4465359249408.

The previous prime is 11485858942937. The next prime is 11485858943011. The reversal of 11485858942960 is 6924985858411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11485858942960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661381 + ... + 4838299.

It is an arithmetic number, because the mean of its divisors is an integer number (343198720260).

Almost surely, 2^{11485858942960} is an apocalyptic number.

11485858942960 is a gapful number since it is divisible by the number (10) 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 11485858942960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13727948810400).

11485858942960 is an abundant number, since it is smaller than the sum of its proper divisors (15970038677840).

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

11485858942960 is a wasteful number, since it uses less digits than its factorization.

11485858942960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177898 (or 4177892 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 70.

The spelling of 11485858942960 in words is "eleven trillion, four hundred eighty-five billion, eight hundred fifty-eight million, nine hundred forty-two thousand, nine hundred sixty".