10291285664 has 96 divisors (see below), whose sum is σ = 22353589440. Its totient is φ = 4625152000.

The previous prime is 10291285643. The next prime is 10291285673. The reversal of 10291285664 is 46658219201.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 14680514 + ... + 14681214.

It is an arithmetic number, because the mean of its divisors is an integer number (232849890).

Almost surely, 2^10291285664 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 10291285664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11176794720).

10291285664 is an abundant number, since it is smaller than the sum of its proper divisors (12062303776).

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

10291285664 is a wasteful number, since it uses less digits than its factorization.

10291285664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 10291285664 in words is "ten billion, two hundred ninety-one million, two hundred eighty-five thousand, six hundred sixty-four".