21854226240 has 1512 divisors, whose sum is σ = 103544802816. Its totient is φ = 4136140800.

The previous prime is 21854226143. The next prime is 21854226253. The reversal of 21854226240 is 4262245812.

21854226240 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 4 + 22 + 624 + 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 = 21854226195 and 21854226204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 704975025 + ... + 704975055.

Almost surely, 2^21854226240 is an apocalyptic number.

21854226240 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 21854226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51772401408).

21854226240 is an abundant number, since it is smaller than the sum of its proper divisors (81690576576).

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

21854226240 is a wasteful number, since it uses less digits than its factorization.

21854226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 21854226240 in words is "twenty-one billion, eight hundred fifty-four million, two hundred twenty-six thousand, two hundred forty".