11630031262410 has 256 divisors, whose sum is σ = 30868057497600. Its totient is φ = 2780988672000.

The previous prime is 11630031262379. The next prime is 11630031262429. The reversal of 11630031262410 is 1426213003611.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 127 ways as a sum of consecutive naturals, for example, 4573349599 + ... + 4573352141.

It is an arithmetic number, because the mean of its divisors is an integer number (120578349600).

Almost surely, 2^{11630031262410} is an apocalyptic number.

11630031262410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11630031262410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434028748800).

11630031262410 is an abundant number, since it is smaller than the sum of its proper divisors (19238026235190).

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

11630031262410 is a wasteful number, since it uses less digits than its factorization.

11630031262410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325.

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 11630031262410 in words is "eleven trillion, six hundred thirty billion, thirty-one million, two hundred sixty-two thousand, four hundred ten".