255933340800 has 384 divisors, whose sum is σ = 897656385600. Its totient is φ = 63868108800.

The previous prime is 255933340799. The next prime is 255933340801. The reversal of 255933340800 is 8043339552.

255933340800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255933340799) and next prime (255933340801).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (255933340801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29208420 + ... + 29217180.

Almost surely, 2^255933340800 is an apocalyptic number.

255933340800 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 255933340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448828192800).

255933340800 is an abundant number, since it is smaller than the sum of its proper divisors (641723044800).

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

255933340800 is a wasteful number, since it uses less digits than its factorization.

255933340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8984 (or 8967 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 255933340800 in words is "two hundred fifty-five billion, nine hundred thirty-three million, three hundred forty thousand, eight hundred".