10631416320 has 960 divisors, whose sum is σ = 45566547840. Its totient is φ = 2341011456.

The previous prime is 10631416297. The next prime is 10631416417. The reversal of 10631416320 is 2361413601.

10631416320 is a `hidden beast` number, since 1 + 0 + 631 + 4 + 1 + 6 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10631416320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145635804 + ... + 145635876.

It is an arithmetic number, because the mean of its divisors is an integer number (47465154).

Almost surely, 2^10631416320 is an apocalyptic number.

10631416320 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 10631416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22783273920).

10631416320 is an abundant number, since it is smaller than the sum of its proper divisors (34935131520).

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

10631416320 is an equidigital number, since it uses as much as digits as its factorization.

10631416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10631416320 its reverse (2361413601), we get a palindrome (12992829921).

The spelling of 10631416320 in words is "ten billion, six hundred thirty-one million, four hundred sixteen thousand, three hundred twenty".