11862289920 has 640 divisors, whose sum is σ = 44918375040. Its totient is φ = 2642411520.

The previous prime is 11862289919. The next prime is 11862289939. The reversal of 11862289920 is 2998226811.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×11862289920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11862289920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49221000 + ... + 49221240.

It is an arithmetic number, because the mean of its divisors is an integer number (70184961).

Almost surely, 2^11862289920 is an apocalyptic number.

11862289920 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 11862289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22459187520).

11862289920 is an abundant number, since it is smaller than the sum of its proper divisors (33056085120).

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

11862289920 is a wasteful number, since it uses less digits than its factorization.

11862289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 11862289920 in words is "eleven billion, eight hundred sixty-two million, two hundred eighty-nine thousand, nine hundred twenty".