10221770416 has 80 divisors (see below), whose sum is σ = 23295571488. Its totient is φ = 4283596800.

The previous prime is 10221770401. The next prime is 10221770437. The reversal of 10221770416 is 61407712201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2278896 + ... + 2283376.

Almost surely, 2^10221770416 is an apocalyptic number.

10221770416 is a gapful number since it is divisible by the number (16) 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 10221770416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11647785744).

10221770416 is an abundant number, since it is smaller than the sum of its proper divisors (13073801072).

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

10221770416 is a wasteful number, since it uses less digits than its factorization.

10221770416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 10221770416 in words is "ten billion, two hundred twenty-one million, seven hundred seventy thousand, four hundred sixteen".