10145023543260 has 288 divisors, whose sum is σ = 34651956306240. Its totient is φ = 2387322077184.

The previous prime is 10145023543223. The next prime is 10145023543261. The reversal of 10145023543260 is 6234532054101.

10145023543260 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 50 + 2 + 3 + 543 + 2 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145023543261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4740132 + ... + 6539028.

It is an arithmetic number, because the mean of its divisors is an integer number (120319292730).

Almost surely, 2^{10145023543260} is an apocalyptic number.

10145023543260 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 10145023543260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17325978153120).

10145023543260 is an abundant number, since it is smaller than the sum of its proper divisors (24506932762980).

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

10145023543260 is a wasteful number, since it uses less digits than its factorization.

10145023543260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799045 (or 1799040 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10145023543260 its reverse (6234532054101), we get a palindrome (16379555597361).

The spelling of 10145023543260 in words is "ten trillion, one hundred forty-five billion, twenty-three million, five hundred forty-three thousand, two hundred sixty".