10558942400 has 168 divisors, whose sum is σ = 26774119680. Its totient is φ = 4096189440.

The previous prime is 10558942367. The next prime is 10558942423. The reversal of 10558942400 is 424985501.

It is a super-2 number, since 2×10558942400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11489141 + ... + 11490059.

It is an arithmetic number, because the mean of its divisors is an integer number (159369760).

Almost surely, 2^10558942400 is an apocalyptic number.

10558942400 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 10558942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13387059840).

10558942400 is an abundant number, since it is smaller than the sum of its proper divisors (16215177280).

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

10558942400 is a wasteful number, since it uses less digits than its factorization.

10558942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 10558942400 in words is "ten billion, five hundred fifty-eight million, nine hundred forty-two thousand, four hundred".