256006416150 has 216 divisors, whose sum is σ = 731728554024. Its totient is φ = 64157184000.

The previous prime is 256006416139. The next prime is 256006416187. The reversal of 256006416150 is 51614600652.

256006416150 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 0 + 641 + 6 + 1 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 136681614 + ... + 136683486.

Almost surely, 2^256006416150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256006416150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365864277012).

256006416150 is an abundant number, since it is smaller than the sum of its proper divisors (475722137874).

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

256006416150 is a wasteful number, since it uses less digits than its factorization.

256006416150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 256006416150 in words is "two hundred fifty-six billion, six million, four hundred sixteen thousand, one hundred fifty".