10721134080 has 400 divisors, whose sum is σ = 38768835600. Its totient is φ = 2831597568.

The previous prime is 10721134069. The next prime is 10721134093. The reversal of 10721134080 is 8043112701.

10721134080 is a `hidden beast` number, since 107 + 211 + 340 + 8 + 0 = 666.

It is a super-2 number, since 2×10721134080² (a number of 21 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 30896467 + ... + 30896813.

It is an arithmetic number, because the mean of its divisors is an integer number (96922089).

Almost surely, 2^10721134080 is an apocalyptic number.

10721134080 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 10721134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19384417800).

10721134080 is an abundant number, since it is smaller than the sum of its proper divisors (28047701520).

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

10721134080 is an equidigital number, since it uses as much as digits as its factorization.

10721134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 10721134080 its reverse (8043112701), we get a palindrome (18764246781).

The spelling of 10721134080 in words is "ten billion, seven hundred twenty-one million, one hundred thirty-four thousand, eighty".