10119979980 has 288 divisors, whose sum is σ = 36327590208. Its totient is φ = 2252390400.

The previous prime is 10119979973. The next prime is 10119980011. The reversal of 10119979980 is 8997991101.

It is a happy number.

10119979980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1376394 + ... + 1383726.

It is an arithmetic number, because the mean of its divisors is an integer number (126137466).

Almost surely, 2^10119979980 is an apocalyptic number.

10119979980 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 10119979980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18163795104).

10119979980 is an abundant number, since it is smaller than the sum of its proper divisors (26207610228).

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

10119979980 is a wasteful number, since it uses less digits than its factorization.

10119979980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7417 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 54.

It can be divided in two parts, 10119 and 979980, that added together give a palindrome (990099).

The spelling of 10119979980 in words is "ten billion, one hundred nineteen million, nine hundred seventy-nine thousand, nine hundred eighty".