10216434672 has 240 divisors, whose sum is σ = 31642399360. Its totient is φ = 3064739328.

The previous prime is 10216434661. The next prime is 10216434673. The reversal of 10216434672 is 27643461201.

10216434672 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 643 + 4 + 6 + 7 + 2 = 666.

10216434672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10216434673) by changing a digit.

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, 4351803 + ... + 4354149.

Almost surely, 2^10216434672 is an apocalyptic number.

10216434672 is a gapful number since it is divisible by the number (12) 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 10216434672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821199680).

10216434672 is an abundant number, since it is smaller than the sum of its proper divisors (21425964688).

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

10216434672 is a wasteful number, since it uses less digits than its factorization.

10216434672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 10216434672 its reverse (27643461201), we get a palindrome (37859895873).

The spelling of 10216434672 in words is "ten billion, two hundred sixteen million, four hundred thirty-four thousand, six hundred seventy-two".