10558041600 has 480 divisors, whose sum is σ = 38055600000. Its totient is φ = 2570158080.

The previous prime is 10558041583. The next prime is 10558041653. The reversal of 10558041600 is 614085501.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10558041600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21158151 + ... + 21158649.

It is an arithmetic number, because the mean of its divisors is an integer number (79282500).

Almost surely, 2^10558041600 is an apocalyptic number.

10558041600 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 10558041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027800000).

10558041600 is an abundant number, since it is smaller than the sum of its proper divisors (27497558400).

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

10558041600 is a wasteful number, since it uses less digits than its factorization.

10558041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 10558041600 in words is "ten billion, five hundred fifty-eight million, forty-one thousand, six hundred".