10187311680 has 840 divisors, whose sum is σ = 45470707128. Its totient is φ = 2145927168.

The previous prime is 10187311663. The next prime is 10187311721. The reversal of 10187311680 is 8611378101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 329204736 + 9858106944 = 18144^2 + 99288^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16510732 + ... + 16511348.

Almost surely, 2^10187311680 is an apocalyptic number.

10187311680 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 10187311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22735353564).

10187311680 is an abundant number, since it is smaller than the sum of its proper divisors (35283395448).

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

10187311680 is a wasteful number, since it uses less digits than its factorization.

10187311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Adding to 10187311680 its reverse (8611378101), we get a palindrome (18798689781).

The spelling of 10187311680 in words is "ten billion, one hundred eighty-seven million, three hundred eleven thousand, six hundred eighty".