10221413760 has 256 divisors, whose sum is σ = 36798091200. Its totient is φ = 2680750080.

The previous prime is 10221413743. The next prime is 10221413773. The reversal of 10221413760 is 6731412201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049232 + ... + 1058928.

Almost surely, 2^10221413760 is an apocalyptic number.

10221413760 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 10221413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18399045600).

10221413760 is an abundant number, since it is smaller than the sum of its proper divisors (26576677440).

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

10221413760 is an equidigital number, since it uses as much as digits as its factorization.

10221413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9786 (or 9768 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 10221413760 its reverse (6731412201), we get a palindrome (16952825961).

The spelling of 10221413760 in words is "ten billion, two hundred twenty-one million, four hundred thirteen thousand, seven hundred sixty".