21688374120 has 192 divisors, whose sum is σ = 75848814720. Its totient is φ = 4946812416.

The previous prime is 21688374107. The next prime is 21688374131. The reversal of 21688374120 is 2147388612.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2953974 + ... + 2961306.

It is an arithmetic number, because the mean of its divisors is an integer number (395045910).

Almost surely, 2^21688374120 is an apocalyptic number.

21688374120 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 21688374120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37924407360).

21688374120 is an abundant number, since it is smaller than the sum of its proper divisors (54160440600).

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

21688374120 is a wasteful number, since it uses less digits than its factorization.

21688374120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7864 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 21688374120 in words is "twenty-one billion, six hundred eighty-eight million, three hundred seventy-four thousand, one hundred twenty".