10557489600 has 1008 divisors, whose sum is σ = 46608284736. Its totient is φ = 2211840000.

The previous prime is 10557489599. The next prime is 10557489629. The reversal of 10557489600 is 698475501.

10557489600 is a `hidden beast` number, since 1 + 0 + 557 + 4 + 8 + 96 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10557489600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 104529550 + ... + 104529650.

Almost surely, 2^10557489600 is an apocalyptic number.

10557489600 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 10557489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23304142368).

10557489600 is an abundant number, since it is smaller than the sum of its proper divisors (36050795136).

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

10557489600 is a wasteful number, since it uses less digits than its factorization.

10557489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 10557489600 in words is "ten billion, five hundred fifty-seven million, four hundred eighty-nine thousand, six hundred".