21716735040 has 1792 divisors, whose sum is σ = 107492474880. Its totient is φ = 4031078400.

The previous prime is 21716735039. The next prime is 21716735069. The reversal of 21716735040 is 4053761712.

It is a happy number.

21716735040 is a `hidden beast` number, since 21 + 71 + 67 + 3 + 504 + 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 = 21716734986 and 21716735004.

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 255 ways as a sum of consecutive naturals, for example, 700539825 + ... + 700539855.

It is an arithmetic number, because the mean of its divisors is an integer number (59984640).

Almost surely, 2^21716735040 is an apocalyptic number.

21716735040 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 21716735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53746237440).

21716735040 is an abundant number, since it is smaller than the sum of its proper divisors (85775739840).

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

21716735040 is a wasteful number, since it uses less digits than its factorization.

21716735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 21716735040 in words is "twenty-one billion, seven hundred sixteen million, seven hundred thirty-five thousand, forty".