256446993600 has 672 divisors, whose sum is σ = 1076256115200. Its totient is φ = 58185216000.

The previous prime is 256446993587. The next prime is 256446993619. The reversal of 256446993600 is 6399644652.

256446993600 is a `hidden beast` number, since 2 + 56 + 446 + 9 + 93 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42030550 + ... + 42036650.

It is an arithmetic number, because the mean of its divisors is an integer number (1601571600).

Almost surely, 2^256446993600 is an apocalyptic number.

256446993600 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 256446993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538128057600).

256446993600 is an abundant number, since it is smaller than the sum of its proper divisors (819809121600).

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

256446993600 is a wasteful number, since it uses less digits than its factorization.

256446993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6278 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 256446993600 in words is "two hundred fifty-six billion, four hundred forty-six million, nine hundred ninety-three thousand, six hundred".