11625316120000 has 280 divisors, whose sum is σ = 31461062637312. Its totient is φ = 4225584000000.

The previous prime is 11625316119979. The next prime is 11625316120009. The reversal of 11625316120000 is 2161352611.

11625316120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11625316120009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1462116025 + ... + 1462123975.

Almost surely, 2^{11625316120000} is an apocalyptic number.

11625316120000 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 11625316120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730531318656).

11625316120000 is an abundant number, since it is smaller than the sum of its proper divisors (19835746517312).

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

11625316120000 is an equidigital number, since it uses as much as digits as its factorization.

11625316120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11317 (or 11292 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 11625316120000 its reverse (2161352611), we get a palindrome (11627477472611).

The spelling of 11625316120000 in words is "eleven trillion, six hundred twenty-five billion, three hundred sixteen million, one hundred twenty thousand".