10540350351210 has 128 divisors (see below), whose sum is σ = 26035950403584. Its totient is φ = 2729608646400.

The previous prime is 10540350351191. The next prime is 10540350351241. The reversal of 10540350351210 is 1215305304501.

It is a super-3 number, since 3×10540350351210³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188823264 + ... + 188879076.

It is an arithmetic number, because the mean of its divisors is an integer number (203405862528).

Almost surely, 2^{10540350351210} is an apocalyptic number.

10540350351210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10540350351210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13017975201792).

10540350351210 is an abundant number, since it is smaller than the sum of its proper divisors (15495600052374).

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

10540350351210 is a wasteful number, since it uses less digits than its factorization.

10540350351210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56908.

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 10540350351210 its reverse (1215305304501), we get a palindrome (11755655655711).

The spelling of 10540350351210 in words is "ten trillion, five hundred forty billion, three hundred fifty million, three hundred fifty-one thousand, two hundred ten".