10227517664 has 288 divisors, whose sum is σ = 26167325184. Its totient is φ = 3849431040.

The previous prime is 10227517661. The next prime is 10227517687. The reversal of 10227517664 is 46671572201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10227517661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99296237 + ... + 99296339.

It is an arithmetic number, because the mean of its divisors is an integer number (90858768).

Almost surely, 2^10227517664 is an apocalyptic number.

10227517664 is a gapful number since it is divisible by the number (14) 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 10227517664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083662592).

10227517664 is an abundant number, since it is smaller than the sum of its proper divisors (15939807520).

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

10227517664 is a wasteful number, since it uses less digits than its factorization.

10227517664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 10227517664 in words is "ten billion, two hundred twenty-seven million, five hundred seventeen thousand, six hundred sixty-four".