6511055656050 has 288 divisors, whose sum is σ = 20000057950080. Its totient is φ = 1503210931200.

The previous prime is 6511055656043. The next prime is 6511055656069. The reversal of 6511055656050 is 506565501156.

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 = 6511055655987 and 6511055656005.

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, 25946782 + ... + 26196518.

It is an arithmetic number, because the mean of its divisors is an integer number (69444645660).

Almost surely, 2^{6511055656050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6511055656050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10000028975040).

6511055656050 is an abundant number, since it is smaller than the sum of its proper divisors (13489002294030).

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

6511055656050 is a wasteful number, since it uses less digits than its factorization.

6511055656050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250018 (or 250010 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 6511055656050 in words is "six trillion, five hundred eleven billion, fifty-five million, six hundred fifty-six thousand, fifty".