256502611332000 has 1152 divisors, whose sum is σ = 1051297873516800. Its totient is φ = 60665679360000.

The previous prime is 256502611331969. The next prime is 256502611332043. The reversal of 256502611332000 is 233116205652.

256502611332000 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 0 + 2 + 611 + 3 + 32 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 535548631 + ... + 536027369.

It is an arithmetic number, because the mean of its divisors is an integer number (912584959650).

Almost surely, 2^{256502611332000} is an apocalyptic number.

256502611332000 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 256502611332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525648936758400).

256502611332000 is an abundant number, since it is smaller than the sum of its proper divisors (794795262184800).

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

256502611332000 is a wasteful number, since it uses less digits than its factorization.

256502611332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478836 (or 478801 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 256502611332000 its reverse (233116205652), we get a palindrome (256735727537652).

The spelling of 256502611332000 in words is "two hundred fifty-six trillion, five hundred two billion, six hundred eleven million, three hundred thirty-two thousand".