256249889280 has 1200 divisors, whose sum is σ = 1153736781120. Its totient is φ = 53210234880.

The previous prime is 256249889267. The next prime is 256249889297. The reversal of 256249889280 is 82988942652.

256249889280 is a `hidden beast` number, since 2 + 5 + 62 + 498 + 8 + 9 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 175633191 + ... + 175634649.

Almost surely, 2^256249889280 is an apocalyptic number.

256249889280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256249889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576868390560).

256249889280 is an abundant number, since it is smaller than the sum of its proper divisors (897486891840).

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

256249889280 is a wasteful number, since it uses less digits than its factorization.

256249889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 256249889280 in words is "two hundred fifty-six billion, two hundred forty-nine million, eight hundred eighty-nine thousand, two hundred eighty".