10513599264 has 288 divisors, whose sum is σ = 34928240256. Its totient is φ = 2937876480.

The previous prime is 10513599263. The next prime is 10513599269. The reversal of 10513599264 is 46299531501.

10513599264 is a `hidden beast` number, since 1 + 0 + 51 + 3 + 599 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10513599264² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10513599263) 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, 37414804 + ... + 37415084.

It is an arithmetic number, because the mean of its divisors is an integer number (121278612).

Almost surely, 2^10513599264 is an apocalyptic number.

10513599264 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 10513599264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17464120128).

10513599264 is an abundant number, since it is smaller than the sum of its proper divisors (24414640992).

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

10513599264 is a wasteful number, since it uses less digits than its factorization.

10513599264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 10513599264 in words is "ten billion, five hundred thirteen million, five hundred ninety-nine thousand, two hundred sixty-four".