256454212125100 has 216 divisors, whose sum is σ = 629740550056464. Its totient is φ = 89837124480000.

The previous prime is 256454212125031. The next prime is 256454212125113. The reversal of 256454212125100 is 1521212454652.

256454212125100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 414871854 + ... + 415489546.

Almost surely, 2^{256454212125100} is an apocalyptic number.

256454212125100 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 256454212125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314870275028232).

256454212125100 is an abundant number, since it is smaller than the sum of its proper divisors (373286337931364).

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

256454212125100 is a wasteful number, since it uses less digits than its factorization.

256454212125100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617957 (or 617849 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

Adding to 256454212125100 its reverse (1521212454652), we get a palindrome (257975424579752).

The spelling of 256454212125100 in words is "two hundred fifty-six trillion, four hundred fifty-four billion, two hundred twelve million, one hundred twenty-five thousand, one hundred".