1500011106006 has 64 divisors (see below), whose sum is σ = 3477730139136. Its totient is φ = 422435865600.

The previous prime is 1500011106001. The next prime is 1500011106007. The reversal of 1500011106006 is 6006011100051.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1500011106001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12683226 + ... + 12800946.

It is an arithmetic number, because the mean of its divisors is an integer number (54339533424).

Almost surely, 2^{1500011106006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1500011106006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738865069568).

1500011106006 is an abundant number, since it is smaller than the sum of its proper divisors (1977719033130).

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

1500011106006 is a wasteful number, since it uses less digits than its factorization.

1500011106006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122077.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 1500011106006 its reverse (6006011100051), we get a palindrome (7506022206057).

The spelling of 1500011106006 in words is "one trillion, five hundred billion, eleven million, one hundred six thousand, six".