21436752935880 has 384 divisors, whose sum is σ = 75452747443200. Its totient is φ = 5412862651392.

The previous prime is 21436752935783. The next prime is 21436752935887. The reversal of 21436752935880 is 8853925763412.

21436752935880 is a `hidden beast` number, since 2 + 1 + 43 + 6 + 7 + 5 + 2 + 9 + 3 + 588 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (21436752935887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 835500012 + ... + 835525668.

It is an arithmetic number, because the mean of its divisors is an integer number (196491529800).

It is a 1-persistent number, because it is pandigital, but 2⋅21436752935880 = 42873505871760 is not.

Almost surely, 2^{21436752935880} is an apocalyptic number.

21436752935880 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 21436752935880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37726373721600).

21436752935880 is an abundant number, since it is smaller than the sum of its proper divisors (54015994507320).

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

21436752935880 is a wasteful number, since it uses less digits than its factorization.

21436752935880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27858 (or 27829 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 21436752935880 in words is "twenty-one trillion, four hundred thirty-six billion, seven hundred fifty-two million, nine hundred thirty-five thousand, eight hundred eighty".