11877633100 has 72 divisors (see below), whose sum is σ = 27420776208. Its totient is φ = 4450252800.

The previous prime is 11877633023. The next prime is 11877633109. The reversal of 11877633100 is 133677811.

It is a happy number.

11877633100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11877633100² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11877633100.

It is not an unprimeable number, because it can be changed into a prime (11877633109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 342144 + ... + 375256.

It is an arithmetic number, because the mean of its divisors is an integer number (380844114).

Almost surely, 2^11877633100 is an apocalyptic number.

11877633100 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 11877633100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13710388104).

11877633100 is an abundant number, since it is smaller than the sum of its proper divisors (15543143108).

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

11877633100 is a wasteful number, since it uses less digits than its factorization.

11877633100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33355 (or 33348 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 11877633100 in words is "eleven billion, eight hundred seventy-seven million, six hundred thirty-three thousand, one hundred".