11828139210 has 192 divisors, whose sum is σ = 32606945280. Its totient is φ = 3084298560.

The previous prime is 11828139133. The next prime is 11828139233. The reversal of 11828139210 is 1293182811.

It is a happy number.

11828139210 is a `hidden beast` number, since 1 + 182 + 81 + 392 + 10 = 666.

It is a super-2 number, since 2×11828139210² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30882679 + ... + 30883061.

It is an arithmetic number, because the mean of its divisors is an integer number (169827840).

Almost surely, 2^11828139210 is an apocalyptic number.

11828139210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11828139210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303472640).

11828139210 is an abundant number, since it is smaller than the sum of its proper divisors (20778806070).

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

11828139210 is a wasteful number, since it uses less digits than its factorization.

11828139210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 11828139210 in words is "eleven billion, eight hundred twenty-eight million, one hundred thirty-nine thousand, two hundred ten".