12511555605450 has 288 divisors, whose sum is σ = 38036746867392. Its totient is φ = 3032437824000.

The previous prime is 12511555605443. The next prime is 12511555605539. The reversal of 12511555605450 is 5450655511521.

12511555605450 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 1 + 55 + 56 + 0 + 545 + 0 = 666.

12511555605450 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 (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12511555605396 and 12511555605405.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 907877560 + ... + 907891340.

It is an arithmetic number, because the mean of its divisors is an integer number (132072037734).

Almost surely, 2^{12511555605450} is an apocalyptic number.

12511555605450 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 12511555605450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19018373433696).

12511555605450 is an abundant number, since it is smaller than the sum of its proper divisors (25525191261942).

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

12511555605450 is a wasteful number, since it uses less digits than its factorization.

12511555605450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20612 (or 20595 counting only the distinct ones).

The product of its (nonzero) digits is 750000, while the sum is 45.

The spelling of 12511555605450 in words is "twelve trillion, five hundred eleven billion, five hundred fifty-five million, six hundred five thousand, four hundred fifty".