256829624100 has 540 divisors, whose sum is σ = 980843888640. Its totient is φ = 57953750400.

The previous prime is 256829624087. The next prime is 256829624101. The reversal of 256829624100 is 1426928652.

256829624100 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 2 + 9 + 624 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×256829624100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (256829624101) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 31351005 + ... + 31359195.

Almost surely, 2^256829624100 is an apocalyptic number.

256829624100 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 256829624100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490421944320).

256829624100 is an abundant number, since it is smaller than the sum of its proper divisors (724014264540).

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

256829624100 is a wasteful number, since it uses less digits than its factorization.

256829624100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8310 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 256829624100 in words is "two hundred fifty-six billion, eight hundred twenty-nine million, six hundred twenty-four thousand, one hundred".