10544061600 has 432 divisors, whose sum is σ = 39138869952. Its totient is φ = 2769500160.

The previous prime is 10544061587. The next prime is 10544061653. The reversal of 10544061600 is 616044501.

10544061600 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 40 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10544061600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14190829 + ... + 14191571.

It is an arithmetic number, because the mean of its divisors is an integer number (90599236).

Almost surely, 2^10544061600 is an apocalyptic number.

10544061600 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 10544061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19569434976).

10544061600 is an abundant number, since it is smaller than the sum of its proper divisors (28594808352).

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

10544061600 is an equidigital number, since it uses as much as digits as its factorization.

10544061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10544061600 in words is "ten billion, five hundred forty-four million, sixty-one thousand, six hundred".