10211616544 has 96 divisors (see below), whose sum is σ = 21304684800. Its totient is φ = 4808466432.

The previous prime is 10211616487. The next prime is 10211616581. The reversal of 10211616544 is 44561611201.

It is a super-2 number, since 2×10211616544² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 16550124 + ... + 16550740.

It is an arithmetic number, because the mean of its divisors is an integer number (221923800).

Almost surely, 2^10211616544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211616544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10652342400).

10211616544 is an abundant number, since it is smaller than the sum of its proper divisors (11093068256).

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

10211616544 is a wasteful number, since it uses less digits than its factorization.

10211616544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 10211616544 in words is "ten billion, two hundred eleven million, six hundred sixteen thousand, five hundred forty-four".