10221914880 has 360 divisors, whose sum is σ = 38508346800. Its totient is φ = 2581880832.

The previous prime is 10221914873. The next prime is 10221914881. The reversal of 10221914880 is 8841912201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221914881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1967326 + ... + 1972514.

It is an arithmetic number, because the mean of its divisors is an integer number (106967630).

Almost surely, 2^10221914880 is an apocalyptic number.

10221914880 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 10221914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19254173400).

10221914880 is an abundant number, since it is smaller than the sum of its proper divisors (28286431920).

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

10221914880 is an equidigital number, since it uses as much as digits as its factorization.

10221914880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10221914880 in words is "ten billion, two hundred twenty-one million, nine hundred fourteen thousand, eight hundred eighty".