21136711680 has 336 divisors, whose sum is σ = 83746750464. Its totient is φ = 4830658560.

The previous prime is 21136711669. The next prime is 21136711681. The reversal of 21136711680 is 8611763112.

21136711680 is a `hidden beast` number, since 211 + 367 + 1 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 not an unprimeable number, because it can be changed into a prime (21136711681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2576385 + ... + 2584575.

Almost surely, 2^21136711680 is an apocalyptic number.

21136711680 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 21136711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41873375232).

21136711680 is an abundant number, since it is smaller than the sum of its proper divisors (62610038784).

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

21136711680 is an equidigital number, since it uses as much as digits as its factorization.

21136711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 21136711680 in words is "twenty-one billion, one hundred thirty-six million, seven hundred eleven thousand, six hundred eighty".