21882500640 has 2304 divisors, whose sum is σ = 114124308480. Its totient is φ = 3662807040.

The previous prime is 21882500611. The next prime is 21882500671. The reversal of 21882500640 is 4600528812.

21882500640 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 2 + 5 + 0 + 0 + 640 = 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 = 21882500595 and 21882500604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 465585097 + ... + 465585143.

It is an arithmetic number, because the mean of its divisors is an integer number (49533120).

Almost surely, 2^21882500640 is an apocalyptic number.

21882500640 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 21882500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57062154240).

21882500640 is an abundant number, since it is smaller than the sum of its proper divisors (92241807840).

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

21882500640 is a wasteful number, since it uses less digits than its factorization.

21882500640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 21882500640 in words is "twenty-one billion, eight hundred eighty-two million, five hundred thousand, six hundred forty".