255976059600 has 240 divisors, whose sum is σ = 912120311040. Its totient is φ = 68182732800.

The previous prime is 255976059593. The next prime is 255976059659. The reversal of 255976059600 is 6950679552.

It is a happy number.

255976059600 is a `hidden beast` number, since 25 + 5 + 9 + 7 + 6 + 0 + 5 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9825792 + ... + 9851808.

It is an arithmetic number, because the mean of its divisors is an integer number (3800501296).

Almost surely, 2^255976059600 is an apocalyptic number.

255976059600 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 255976059600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456060155520).

255976059600 is an abundant number, since it is smaller than the sum of its proper divisors (656144251440).

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

255976059600 is a wasteful number, since it uses less digits than its factorization.

255976059600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26955 (or 26938 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 255976059600 in words is "two hundred fifty-five billion, nine hundred seventy-six million, fifty-nine thousand, six hundred".