256610212407648 has 576 divisors, whose sum is σ = 838889027665920. Its totient is φ = 76236183936000.

The previous prime is 256610212407643. The next prime is 256610212407683. The reversal of 256610212407648 is 846704212016652.

256610212407648 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 10 + 212 + 407 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×256610212407648² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 256610212407594 and 256610212407603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256610212407643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1957729953 + ... + 1957861023.

It is an arithmetic number, because the mean of its divisors is an integer number (1456404561920).

Almost surely, 2^{256610212407648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256610212407648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419444513832960).

256610212407648 is an abundant number, since it is smaller than the sum of its proper divisors (582278815258272).

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

256610212407648 is a wasteful number, since it uses less digits than its factorization.

256610212407648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131480 (or 131455 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 256610212407648 in words is "two hundred fifty-six trillion, six hundred ten billion, two hundred twelve million, four hundred seven thousand, six hundred forty-eight".