10540180000 has 240 divisors, whose sum is σ = 30041383680. Its totient is φ = 3564288000.

The previous prime is 10540179989. The next prime is 10540180019. The reversal of 10540180000 is 8104501.

It is a super-2 number, since 2×10540180000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10540180000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11059524 + ... + 11060476.

It is an arithmetic number, because the mean of its divisors is an integer number (125172432).

Almost surely, 2^10540180000 is an apocalyptic number.

10540180000 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 10540180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020691840).

10540180000 is an abundant number, since it is smaller than the sum of its proper divisors (19501203680).

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

10540180000 is an frugal number, since it uses more digits than its factorization.

10540180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 10540180000 its reverse (8104501), we get a palindrome (10548284501).

The spelling of 10540180000 in words is "ten billion, five hundred forty million, one hundred eighty thousand".