10638517800 has 96 divisors (see below), whose sum is σ = 33287824800. Its totient is φ = 2810407680.

The previous prime is 10638517787. The next prime is 10638517801. The reversal of 10638517800 is 871583601.

It is a super-2 number, since 2×10638517800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10638517801) 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, 18655 + ... + 147054.

It is an arithmetic number, because the mean of its divisors is an integer number (346748175).

Almost surely, 2^10638517800 is an apocalyptic number.

10638517800 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 10638517800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643912400).

10638517800 is an abundant number, since it is smaller than the sum of its proper divisors (22649307000).

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

10638517800 is a wasteful number, since it uses less digits than its factorization.

10638517800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165835 (or 165826 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 10638517800 in words is "ten billion, six hundred thirty-eight million, five hundred seventeen thousand, eight hundred".