10646849520 has 160 divisors (see below), whose sum is σ = 36736339200. Its totient is φ = 2834217216.

The previous prime is 10646849501. The next prime is 10646849533. The reversal of 10646849520 is 2594864601.

10646849520 is a `hidden beast` number, since 1 + 0 + 6 + 46 + 84 + 9 + 520 = 666.

10646849520 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 2×10646849520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1333059 + ... + 1341021.

It is an arithmetic number, because the mean of its divisors is an integer number (229602120).

Almost surely, 2^10646849520 is an apocalyptic number.

10646849520 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 10646849520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18368169600).

10646849520 is an abundant number, since it is smaller than the sum of its proper divisors (26089489680).

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

10646849520 is a wasteful number, since it uses less digits than its factorization.

10646849520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8604 (or 8592 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10646849520 in words is "ten billion, six hundred forty-six million, eight hundred forty-nine thousand, five hundred twenty".