13885179000 has 768 divisors, whose sum is σ = 56954327040. Its totient is φ = 2782080000.

The previous prime is 13885178999. The next prime is 13885179001. The reversal of 13885179000 is 97158831.

It is an interprime number because it is at equal distance from previous prime (13885178999) and next prime (13885179001).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13885179001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50126862 + ... + 50127138.

It is an arithmetic number, because the mean of its divisors is an integer number (74159280).

Almost surely, 2^13885179000 is an apocalyptic number.

13885179000 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 13885179000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28477163520).

13885179000 is an abundant number, since it is smaller than the sum of its proper divisors (43069148040).

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

13885179000 is a wasteful number, since it uses less digits than its factorization.

13885179000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 13885179000 in words is "thirteen billion, eight hundred eighty-five million, one hundred seventy-nine thousand".