10006511600 has 120 divisors (see below), whose sum is σ = 24491892240. Its totient is φ = 3928207360.

The previous prime is 10006511579. The next prime is 10006511609. The reversal of 10006511600 is 611560001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006511609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4835366 + ... + 4837434.

It is an arithmetic number, because the mean of its divisors is an integer number (204099102).

Almost surely, 2^10006511600 is an apocalyptic number.

10006511600 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 10006511600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12245946120).

10006511600 is an abundant number, since it is smaller than the sum of its proper divisors (14485380640).

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

10006511600 is a wasteful number, since it uses less digits than its factorization.

10006511600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 10006511600 in words is "ten billion, six million, five hundred eleven thousand, six hundred".