10216256832 has 168 divisors, whose sum is σ = 31819656960. Its totient is φ = 3122012160.

The previous prime is 10216256797. The next prime is 10216256833. The reversal of 10216256832 is 23865261201.

10216256832 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 62 + 568 + 32 = 666.

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 (10216256833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324208 + ... + 354320.

It is an arithmetic number, because the mean of its divisors is an integer number (189402720).

Almost surely, 2^10216256832 is an apocalyptic number.

10216256832 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 10216256832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909828480).

10216256832 is an abundant number, since it is smaller than the sum of its proper divisors (21603400128).

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

10216256832 is a wasteful number, since it uses less digits than its factorization.

10216256832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30181 (or 30168 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10216256832 in words is "ten billion, two hundred sixteen million, two hundred fifty-six thousand, eight hundred thirty-two".