10557803520 has 704 divisors, whose sum is σ = 42022126080. Its totient is φ = 2492006400.

The previous prime is 10557803489. The next prime is 10557803561. The reversal of 10557803520 is 2530875501.

10557803520 is a `hidden beast` number, since 1 + 0 + 5 + 57 + 80 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×10557803520² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80593855 + ... + 80593985.

It is an arithmetic number, because the mean of its divisors is an integer number (59690520).

Almost surely, 2^10557803520 is an apocalyptic number.

10557803520 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 10557803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21011063040).

10557803520 is an abundant number, since it is smaller than the sum of its proper divisors (31464322560).

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

10557803520 is a wasteful number, since it uses less digits than its factorization.

10557803520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 10557803520 in words is "ten billion, five hundred fifty-seven million, eight hundred three thousand, five hundred twenty".