11879028000 has 768 divisors, whose sum is σ = 52080537600. Its totient is φ = 2569190400.

The previous prime is 11879027999. The next prime is 11879028011. The reversal of 11879028000 is 82097811.

It is a super-2 number, since 2×11879028000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14363587 + ... + 14364413.

It is an arithmetic number, because the mean of its divisors is an integer number (67813200).

Almost surely, 2^11879028000 is an apocalyptic number.

11879028000 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 11879028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26040268800).

11879028000 is an abundant number, since it is smaller than the sum of its proper divisors (40201509600).

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

11879028000 is a wasteful number, since it uses less digits than its factorization.

11879028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 11879028000 in words is "eleven billion, eight hundred seventy-nine million, twenty-eight thousand".