256002364800000 has 6336 divisors, whose sum is σ = 1233819878473728. Its totient is φ = 49633689600000.

The previous prime is 256002364799999. The next prime is 256002364800067. The reversal of 256002364800000 is 8463200652.

256002364800000 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 0 + 2 + 3 + 648 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×256002364800000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1868630399932 + ... + 1868630400068.

Almost surely, 2^{256002364800000} is an apocalyptic number.

256002364800000 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 256002364800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616909939236864).

256002364800000 is an abundant number, since it is smaller than the sum of its proper divisors (977817513673728).

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

256002364800000 is a wasteful number, since it uses less digits than its factorization.

256002364800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 256002364800000 in words is "two hundred fifty-six trillion, two billion, three hundred sixty-four million, eight hundred thousand".