10630311505296 has 320 divisors, whose sum is σ = 35150752493568. Its totient is φ = 2696827060224.

The previous prime is 10630311505267. The next prime is 10630311505327. The reversal of 10630311505296 is 69250511303601.

It is a super-2 number, since 2×10630311505296² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9036235 + ... + 10144661.

Almost surely, 2^{10630311505296} is an apocalyptic number.

10630311505296 is a gapful number since it is divisible by the number (16) 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 10630311505296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17575376246784).

10630311505296 is an abundant number, since it is smaller than the sum of its proper divisors (24520440988272).

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

10630311505296 is a wasteful number, since it uses less digits than its factorization.

10630311505296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108558 (or 1108552 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

Adding to 10630311505296 its reverse (69250511303601), we get a palindrome (79880822808897).

The spelling of 10630311505296 in words is "ten trillion, six hundred thirty billion, three hundred eleven million, five hundred five thousand, two hundred ninety-six".