10510663680 has 532 divisors, whose sum is σ = 41259289752. Its totient is φ = 2548039680.

The previous prime is 10510663651. The next prime is 10510663693. The reversal of 10510663680 is 8636601501.

It is a happy number.

10510663680 is a `hidden beast` number, since 1 + 0 + 5 + 10 + 6 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×10510663680² (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 an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 955514875 + ... + 955514885.

Almost surely, 2^10510663680 is an apocalyptic number.

10510663680 is a gapful number since it is divisible by the number (10) 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 10510663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20629644876).

10510663680 is an abundant number, since it is smaller than the sum of its proper divisors (30748626072).

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

10510663680 is an frugal number, since it uses more digits than its factorization.

10510663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

10510663680 divided by its product of nonzero digits (25920) gives a palindrome (405504).

The spelling of 10510663680 in words is "ten billion, five hundred ten million, six hundred sixty-three thousand, six hundred eighty".