10530535680 has 1152 divisors, whose sum is σ = 47093760000. Its totient is φ = 2173796352.

The previous prime is 10530535577. The next prime is 10530535681. The reversal of 10530535680 is 8653503501.

10530535680 is a `hidden beast` number, since 10 + 5 + 30 + 53 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10530535680² (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 not an unprimeable number, because it can be changed into a prime (10530535681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133297881 + ... + 133297959.

It is an arithmetic number, because the mean of its divisors is an integer number (40880000).

Almost surely, 2^10530535680 is an apocalyptic number.

10530535680 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 10530535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546880000).

10530535680 is an abundant number, since it is smaller than the sum of its proper divisors (36563224320).

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

10530535680 is a wasteful number, since it uses less digits than its factorization.

10530535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10530535680 in words is "ten billion, five hundred thirty million, five hundred thirty-five thousand, six hundred eighty".