10721414620 has 144 divisors (see below), whose sum is σ = 27847199520. Its totient is φ = 3447360000.

The previous prime is 10721414617. The next prime is 10721414629. The reversal of 10721414620 is 2641412701.

It is a super-2 number, since 2×10721414620² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10721414629) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1877770 + ... + 1883470.

It is an arithmetic number, because the mean of its divisors is an integer number (193383330).

Almost surely, 2^10721414620 is an apocalyptic number.

10721414620 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 10721414620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923599760).

10721414620 is an abundant number, since it is smaller than the sum of its proper divisors (17125784900).

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

10721414620 is a wasteful number, since it uses less digits than its factorization.

10721414620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5835 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 10721414620 in words is "ten billion, seven hundred twenty-one million, four hundred fourteen thousand, six hundred twenty".