256653619200 has 1560 divisors, whose sum is σ = 1083958278480. Its totient is φ = 59454259200.

The previous prime is 256653619177. The next prime is 256653619247. The reversal of 256653619200 is 2916356652.

256653619200 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 5 + 3 + 619 + 20 + 0 = 666.

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

It is a congruent number.

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, 2645913552 + ... + 2645913648.

Almost surely, 2^256653619200 is an apocalyptic number.

256653619200 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 256653619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541979139240).

256653619200 is an abundant number, since it is smaller than the sum of its proper divisors (827304659280).

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

256653619200 is a wasteful number, since it uses less digits than its factorization.

256653619200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 256653619200 in words is "two hundred fifty-six billion, six hundred fifty-three million, six hundred nineteen thousand, two hundred".