21137679108 has 192 divisors, whose sum is σ = 67737600000. Its totient is φ = 5550830208.

The previous prime is 21137679089. The next prime is 21137679131. The reversal of 21137679108 is 80197673112.

It is a super-3 number, since 3×21137679108³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2344393 + ... + 2353391.

It is an arithmetic number, because the mean of its divisors is an integer number (352800000).

Almost surely, 2^21137679108 is an apocalyptic number.

21137679108 is a gapful number since it is divisible by the number (28) 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 21137679108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800000).

21137679108 is an abundant number, since it is smaller than the sum of its proper divisors (46599920892).

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

21137679108 is a wasteful number, since it uses less digits than its factorization.

21137679108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9271 (or 9263 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 21137679108 in words is "twenty-one billion, one hundred thirty-seven million, six hundred seventy-nine thousand, one hundred eight".