21732006578700 has 432 divisors, whose sum is σ = 69722796705408. Its totient is φ = 5183049984000.

The previous prime is 21732006578609. The next prime is 21732006578753. The reversal of 21732006578700 is 787560023712.

It is a self number, because there is not a number n which added to its sum of digits gives 21732006578700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9864731799 + ... + 9864734001.

It is an arithmetic number, because the mean of its divisors is an integer number (161395362744).

Almost surely, 2^{21732006578700} is an apocalyptic number.

21732006578700 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 21732006578700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34861398352704).

21732006578700 is an abundant number, since it is smaller than the sum of its proper divisors (47990790126708).

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

21732006578700 is a wasteful number, since it uses less digits than its factorization.

21732006578700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 21732006578700 in words is "twenty-one trillion, seven hundred thirty-two billion, six million, five hundred seventy-eight thousand, seven hundred".