11881970408 has 192 divisors, whose sum is σ = 29501521920. Its totient is φ = 4431369600.

The previous prime is 11881970383. The next prime is 11881970423. The reversal of 11881970408 is 80407918811.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13767785 + ... + 13768647.

It is an arithmetic number, because the mean of its divisors is an integer number (153653760).

Almost surely, 2^11881970408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11881970408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14750760960).

11881970408 is an abundant number, since it is smaller than the sum of its proper divisors (17619551512).

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

11881970408 is a wasteful number, since it uses less digits than its factorization.

11881970408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 47.

It can be divided in two parts, 11881 and 970408, that added together give a palindrome (982289).

The spelling of 11881970408 in words is "eleven billion, eight hundred eighty-one million, nine hundred seventy thousand, four hundred eight".