10222087680 has 640 divisors, whose sum is σ = 42692981760. Its totient is φ = 2269347840.

The previous prime is 10222087679. The next prime is 10222087697. The reversal of 10222087680 is 8678022201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17901795 + ... + 17902365.

It is an arithmetic number, because the mean of its divisors is an integer number (66707784).

Almost surely, 2^10222087680 is an apocalyptic number.

10222087680 is a gapful number since it is divisible by the number (10) 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 10222087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21346490880).

10222087680 is an abundant number, since it is smaller than the sum of its proper divisors (32470894080).

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

10222087680 is an equidigital number, since it uses as much as digits as its factorization.

10222087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10222087680 in words is "ten billion, two hundred twenty-two million, eighty-seven thousand, six hundred eighty".