21863126340 has 480 divisors, whose sum is σ = 81338019840. Its totient is φ = 4856889600.

The previous prime is 21863126333. The next prime is 21863126393. The reversal of 21863126340 is 4362136812.

21863126340 is a `hidden beast` number, since 2 + 1 + 8 + 6 + 3 + 12 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21863126295 and 21863126304.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10494939 + ... + 10497021.

It is an arithmetic number, because the mean of its divisors is an integer number (169454208).

Almost surely, 2^21863126340 is an apocalyptic number.

21863126340 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 21863126340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40669009920).

21863126340 is an abundant number, since it is smaller than the sum of its proper divisors (59474893500).

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

21863126340 is a wasteful number, since it uses less digits than its factorization.

21863126340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 21863126340 in words is "twenty-one billion, eight hundred sixty-three million, one hundred twenty-six thousand, three hundred forty".