256873411620 has 192 divisors, whose sum is σ = 913644748800. Its totient is φ = 58693541760.

The previous prime is 256873411589. The next prime is 256873411657. The reversal of 256873411620 is 26114378652.

256873411620 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 7 + 3 + 4 + 11 + 620 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12686905 + ... + 12707135.

It is an arithmetic number, because the mean of its divisors is an integer number (4758566400).

Almost surely, 2^256873411620 is an apocalyptic number.

256873411620 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 256873411620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456822374400).

256873411620 is an abundant number, since it is smaller than the sum of its proper divisors (656771337180).

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

256873411620 is a wasteful number, since it uses less digits than its factorization.

256873411620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23615 (or 23607 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 256873411620 in words is "two hundred fifty-six billion, eight hundred seventy-three million, four hundred eleven thousand, six hundred twenty".