21108685269000 has 256 divisors, whose sum is σ = 75304356641280. Its totient is φ = 4822482355200.

The previous prime is 21108685268977. The next prime is 21108685269019. The reversal of 21108685269000 is 96258680112.

It is a super-2 number, since 2×21108685269000² (a number of 27 digits) contains 22 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, 42868194 + ... + 43357806.

It is an arithmetic number, because the mean of its divisors is an integer number (294157643130).

Almost surely, 2^{21108685269000} is an apocalyptic number.

21108685269000 is a gapful number since it is divisible by the number (20) 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 21108685269000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37652178320640).

21108685269000 is an abundant number, since it is smaller than the sum of its proper divisors (54195671372280).

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

21108685269000 is a wasteful number, since it uses less digits than its factorization.

21108685269000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491697 (or 491683 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 21108685269000 in words is "twenty-one trillion, one hundred eight billion, six hundred eighty-five million, two hundred sixty-nine thousand".