256160421700 has 144 divisors (see below), whose sum is σ = 595949356800. Its totient is φ = 95234641920.

The previous prime is 256160421653. The next prime is 256160421709. The reversal of 256160421700 is 7124061652.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (256160421709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46344337 + ... + 46349863.

It is an arithmetic number, because the mean of its divisors is an integer number (4138537200).

Almost surely, 2^256160421700 is an apocalyptic number.

256160421700 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 256160421700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297974678400).

256160421700 is an abundant number, since it is smaller than the sum of its proper divisors (339788935100).

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

256160421700 is a wasteful number, since it uses less digits than its factorization.

256160421700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 5887 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 256160421700 in words is "two hundred fifty-six billion, one hundred sixty million, four hundred twenty-one thousand, seven hundred".