10405530000 has 400 divisors, whose sum is σ = 39535594560. Its totient is φ = 2610432000.

The previous prime is 10405529947. The next prime is 10405530007. The reversal of 10405530000 is 3550401.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405530007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4588867 + ... + 4591133.

Almost surely, 2^10405530000 is an apocalyptic number.

10405530000 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 10405530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767797280).

10405530000 is an abundant number, since it is smaller than the sum of its proper divisors (29130064560).

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

10405530000 is a wasteful number, since it uses less digits than its factorization.

10405530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The spelling of 10405530000 in words is "ten billion, four hundred five million, five hundred thirty thousand".