11858958848660 has 144 divisors (see below), whose sum is σ = 31614325142400. Its totient is φ = 3695015842560.

The previous prime is 11858958848657. The next prime is 11858958848683. The reversal of 11858958848660 is 6684885985811.

It is a super-2 number, since 2×11858958848660² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (77).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31104866 + ... + 31483814.

It is an arithmetic number, because the mean of its divisors is an integer number (219543924600).

Almost surely, 2^{11858958848660} is an apocalyptic number.

11858958848660 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 11858958848660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807162571200).

11858958848660 is an abundant number, since it is smaller than the sum of its proper divisors (19755366293740).

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

11858958848660 is a wasteful number, since it uses less digits than its factorization.

11858958848660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381886 (or 381877 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 77.

The spelling of 11858958848660 in words is "eleven trillion, eight hundred fifty-eight billion, nine hundred fifty-eight million, eight hundred forty-eight thousand, six hundred sixty".