256158302400 has 1512 divisors, whose sum is σ = 1230034201344. Its totient is φ = 49097318400.

The previous prime is 256158302399. The next prime is 256158302441. The reversal of 256158302400 is 4203851652.

256158302400 is a `hidden beast` number, since 2 + 5 + 615 + 8 + 30 + 2 + 4 + 0 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 187386517 + ... + 187387883.

Almost surely, 2^256158302400 is an apocalyptic number.

256158302400 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 256158302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615017100672).

256158302400 is an abundant number, since it is smaller than the sum of its proper divisors (973875898944).

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

256158302400 is a wasteful number, since it uses less digits than its factorization.

256158302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 256158302400 in words is "two hundred fifty-six billion, one hundred fifty-eight million, three hundred two thousand, four hundred".