11630423505000 has 160 divisors (see below), whose sum is σ = 36345238300800. Its totient is φ = 3100439424000.

The previous prime is 11630423504983. The next prime is 11630423505037. The reversal of 11630423505000 is 50532403611.

11630423505000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46660704 + ... + 46909296.

It is an arithmetic number, because the mean of its divisors is an integer number (227157739380).

Almost surely, 2^{11630423505000} is an apocalyptic number.

11630423505000 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 11630423505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18172619150400).

11630423505000 is an abundant number, since it is smaller than the sum of its proper divisors (24714814795800).

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

11630423505000 is a wasteful number, since it uses less digits than its factorization.

11630423505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251741 (or 251722 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 11630423505000 its reverse (50532403611), we get a palindrome (11680955908611).

The spelling of 11630423505000 in words is "eleven trillion, six hundred thirty billion, four hundred twenty-three million, five hundred five thousand".