10216131264 has 112 divisors (see below), whose sum is σ = 30732211840. Its totient is φ = 3326158080.

The previous prime is 10216131239. The next prime is 10216131287. The reversal of 10216131264 is 46213161201.

It is a happy number.

10216131264 is a `hidden beast` number, since 1 + 0 + 21 + 613 + 1 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5559 + ... + 143049.

Almost surely, 2^10216131264 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 10216131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15366105920).

10216131264 is an abundant number, since it is smaller than the sum of its proper divisors (20516080576).

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

10216131264 is a wasteful number, since it uses less digits than its factorization.

10216131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137555 (or 137539 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10216131264 its reverse (46213161201), we get a palindrome (56429292465).

The spelling of 10216131264 in words is "ten billion, two hundred sixteen million, one hundred thirty-one thousand, two hundred sixty-four".