256516541002050 has 192 divisors, whose sum is σ = 744999912453888. Its totient is φ = 57184934400000.

The previous prime is 256516541002019. The next prime is 256516541002103. The reversal of 256516541002050 is 50200145615652.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 256516541001993 and 256516541002011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141205510 + ... + 143010590.

It is an arithmetic number, because the mean of its divisors is an integer number (3880207877364).

Almost surely, 2^{256516541002050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256516541002050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372499956226944).

256516541002050 is an abundant number, since it is smaller than the sum of its proper divisors (488483371451838).

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

256516541002050 is a wasteful number, since it uses less digits than its factorization.

256516541002050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808445 (or 1808440 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 256516541002050 in words is "two hundred fifty-six trillion, five hundred sixteen billion, five hundred forty-one million, two thousand, fifty".