21262227840 has 384 divisors, whose sum is σ = 87022091520. Its totient is φ = 4859688960.

The previous prime is 21262227839. The next prime is 21262227863. The reversal of 21262227840 is 4872226212.

21262227840 is a `hidden beast` number, since 2 + 1 + 2 + 622 + 27 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×21262227840³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 21262227795 and 21262227804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078875 + ... + 1098405.

It is an arithmetic number, because the mean of its divisors is an integer number (226620030).

Almost surely, 2^21262227840 is an apocalyptic number.

21262227840 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 21262227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43511045760).

21262227840 is an abundant number, since it is smaller than the sum of its proper divisors (65759863680).

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

21262227840 is an equidigital number, since it uses as much as digits as its factorization.

21262227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19572 (or 19548 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 21262227840 in words is "twenty-one billion, two hundred sixty-two million, two hundred twenty-seven thousand, eight hundred forty".