10510247664 has 240 divisors, whose sum is σ = 35715214080. Its totient is φ = 2929374720.

The previous prime is 10510247663. The next prime is 10510247681. The reversal of 10510247664 is 46674201501.

10510247664 is a `hidden beast` number, since 10 + 510 + 2 + 4 + 76 + 64 = 666.

It is a super-2 number, since 2×10510247664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10510247663) 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, 1111147 + ... + 1120565.

It is an arithmetic number, because the mean of its divisors is an integer number (148813392).

Almost surely, 2^10510247664 is an apocalyptic number.

10510247664 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 10510247664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17857607040).

10510247664 is an abundant number, since it is smaller than the sum of its proper divisors (25204966416).

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

10510247664 is an equidigital number, since it uses as much as digits as its factorization.

10510247664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9490 (or 9472 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10510247664 in words is "ten billion, five hundred ten million, two hundred forty-seven thousand, six hundred sixty-four".