10211089824 has 96 divisors (see below), whose sum is σ = 32073330240. Its totient is φ = 3141870336.

The previous prime is 10211089817. The next prime is 10211089829. The reversal of 10211089824 is 42898011201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (10211089829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443322 + ... + 465785.

It is an arithmetic number, because the mean of its divisors is an integer number (334097190).

Almost surely, 2^10211089824 is an apocalyptic number.

It is an amenable number.

10211089824 is an abundant number, since it is smaller than the sum of its proper divisors (21862240416).

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

10211089824 is a wasteful number, since it uses less digits than its factorization.

10211089824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909139 (or 909125 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 10211089824 in words is "ten billion, two hundred eleven million, eighty-nine thousand, eight hundred twenty-four".