10513649664 has 364 divisors, whose sum is σ = 36097540416. Its totient is φ = 2997927936.

The previous prime is 10513649651. The next prime is 10513649737. The reversal of 10513649664 is 46694631501.

10513649664 is a `hidden beast` number, since 10 + 513 + 64 + 9 + 6 + 64 = 666.

It is a super-2 number, since 2×10513649664² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20901637 + ... + 20902139.

Almost surely, 2^10513649664 is an apocalyptic number.

10513649664 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 10513649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18048770208).

10513649664 is an abundant number, since it is smaller than the sum of its proper divisors (25583890752).

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

10513649664 is an frugal number, since it uses more digits than its factorization.

10513649664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10513649664 in words is "ten billion, five hundred thirteen million, six hundred forty-nine thousand, six hundred sixty-four".