10650072960 has 384 divisors, whose sum is σ = 39599876160. Its totient is φ = 2627665920.

The previous prime is 10650072941. The next prime is 10650072997. The reversal of 10650072960 is 6927005601.

10650072960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10650072960² (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 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 47 ways as a sum of consecutive naturals, for example, 5972229 + ... + 5974011.

Almost surely, 2^10650072960 is an apocalyptic number.

10650072960 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 10650072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19799938080).

10650072960 is an abundant number, since it is smaller than the sum of its proper divisors (28949803200).

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

10650072960 is a wasteful number, since it uses less digits than its factorization.

10650072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10650072960 in words is "ten billion, six hundred fifty million, seventy-two thousand, nine hundred sixty".