256835106990 has 1440 divisors, whose sum is σ = 985345808832. Its totient is φ = 46805299200.

The previous prime is 256835106977. The next prime is 256835107003. The reversal of 256835106990 is 99601538652.

It is a happy number.

256835106990 is a `hidden beast` number, since 2 + 5 + 68 + 3 + 510 + 69 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (256835106977) and next prime (256835107003).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 4210411560 + ... + 4210411620.

Almost surely, 2^256835106990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256835106990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492672904416).

256835106990 is an abundant number, since it is smaller than the sum of its proper divisors (728510701842).

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

256835106990 is a wasteful number, since it uses less digits than its factorization.

256835106990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 256835106990 in words is "two hundred fifty-six billion, eight hundred thirty-five million, one hundred six thousand, nine hundred ninety".