10721946240 has 768 divisors, whose sum is σ = 42837552000. Its totient is φ = 2526806016.

The previous prime is 10721946229. The next prime is 10721946253. The reversal of 10721946240 is 4264912701.

It is a happy number.

10721946240 is a `hidden beast` number, since 1 + 0 + 7 + 21 + 9 + 4 + 624 + 0 = 666.

10721946240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10721946240² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10721946195 and 10721946204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94884424 + ... + 94884536.

Almost surely, 2^10721946240 is an apocalyptic number.

10721946240 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 10721946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21418776000).

10721946240 is an abundant number, since it is smaller than the sum of its proper divisors (32115605760).

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

10721946240 is a wasteful number, since it uses less digits than its factorization.

10721946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10721946240 in words is "ten billion, seven hundred twenty-one million, nine hundred forty-six thousand, two hundred forty".