10716246540 has 144 divisors (see below), whose sum is σ = 33770030112. Its totient is φ = 2852568576.

The previous prime is 10716246533. The next prime is 10716246557. The reversal of 10716246540 is 4564261701.

10716246540 is a `hidden beast` number, since 1 + 0 + 71 + 6 + 2 + 46 + 540 = 666.

It is a super-2 number, since 2×10716246540² (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 = 10716246495 and 10716246504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3288592 + ... + 3291848.

It is an arithmetic number, because the mean of its divisors is an integer number (234514098).

Almost surely, 2^10716246540 is an apocalyptic number.

10716246540 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 10716246540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16885015056).

10716246540 is an abundant number, since it is smaller than the sum of its proper divisors (23053783572).

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

10716246540 is a wasteful number, since it uses less digits than its factorization.

10716246540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10716246540 in words is "ten billion, seven hundred sixteen million, two hundred forty-six thousand, five hundred forty".