10507579319664 has 320 divisors, whose sum is σ = 35974177505280. Its totient is φ = 2871141292800.

The previous prime is 10507579319651. The next prime is 10507579319681. The reversal of 10507579319664 is 46691397570501.

It is a happy number.

10507579319664 is a `hidden beast` number, since 1 + 0 + 50 + 7 + 579 + 3 + 1 + 9 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×10507579319664² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 605580589 + ... + 605597939.

It is an arithmetic number, because the mean of its divisors is an integer number (112419304704).

Almost surely, 2^{10507579319664} is an apocalyptic number.

10507579319664 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 10507579319664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987088752640).

10507579319664 is an abundant number, since it is smaller than the sum of its proper divisors (25466598185616).

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

10507579319664 is a wasteful number, since it uses less digits than its factorization.

10507579319664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26105 (or 26093 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 10507579319664 in words is "ten trillion, five hundred seven billion, five hundred seventy-nine million, three hundred nineteen thousand, six hundred sixty-four".