21209076337680 has 1280 divisors, whose sum is σ = 94310363750400. Its totient is φ = 4251049205760.

The previous prime is 21209076337663. The next prime is 21209076337697. The reversal of 21209076337680 is 8673367090212.

21209076337680 is a `hidden beast` number, since 2 + 1 + 209 + 0 + 7 + 63 + 376 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21209076337663) and next prime (21209076337697).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9583856254 + ... + 9583858466.

It is an arithmetic number, because the mean of its divisors is an integer number (73679971680).

Almost surely, 2^{21209076337680} is an apocalyptic number.

21209076337680 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 21209076337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47155181875200).

21209076337680 is an abundant number, since it is smaller than the sum of its proper divisors (73101287412720).

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

21209076337680 is a wasteful number, since it uses less digits than its factorization.

21209076337680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 21209076337680 in words is "twenty-one trillion, two hundred nine billion, seventy-six million, three hundred thirty-seven thousand, six hundred eighty".