22087686631680 has 1152 divisors, whose sum is σ = 83895178752000. Its totient is φ = 5555309764608.

The previous prime is 22087686631613. The next prime is 22087686631691. The reversal of 22087686631680 is 8613668678022.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 13988401131 + ... + 13988402709.

It is an arithmetic number, because the mean of its divisors is an integer number (72825676000).

Almost surely, 2^{22087686631680} is an apocalyptic number.

22087686631680 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 22087686631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41947589376000).

22087686631680 is an abundant number, since it is smaller than the sum of its proper divisors (61807492120320).

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

22087686631680 is an equidigital number, since it uses as much as digits as its factorization.

22087686631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 22087686631680 in words is "twenty-two trillion, eighty-seven billion, six hundred eighty-six million, six hundred thirty-one thousand, six hundred eighty".