256943470080 has 320 divisors, whose sum is σ = 897130080000. Its totient is φ = 62217093120.

The previous prime is 256943470079. The next prime is 256943470093. The reversal of 256943470080 is 80074349652.

256943470080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126634506 + ... + 126636534.

It is an arithmetic number, because the mean of its divisors is an integer number (2803531500).

Almost surely, 2^256943470080 is an apocalyptic number.

256943470080 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 256943470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448565040000).

256943470080 is an abundant number, since it is smaller than the sum of its proper divisors (640186609920).

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

256943470080 is a wasteful number, since it uses less digits than its factorization.

256943470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 256943470080 in words is "two hundred fifty-six billion, nine hundred forty-three million, four hundred seventy thousand, eighty".