256853224620 has 144 divisors (see below), whose sum is σ = 783613958400. Its totient is φ = 68100240000.

The previous prime is 256853224613. The next prime is 256853224633. The reversal of 256853224620 is 26422358652.

256853224620 is a `hidden beast` number, since 2 + 56 + 8 + 532 + 2 + 4 + 62 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27058075 + ... + 27067565.

It is an arithmetic number, because the mean of its divisors is an integer number (5441763600).

Almost surely, 2^256853224620 is an apocalyptic number.

256853224620 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 256853224620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391806979200).

256853224620 is an abundant number, since it is smaller than the sum of its proper divisors (526760733780).

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

256853224620 is a wasteful number, since it uses less digits than its factorization.

256853224620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10356 (or 10351 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 256853224620 in words is "two hundred fifty-six billion, eight hundred fifty-three million, two hundred twenty-four thousand, six hundred twenty".