255697088400 has 720 divisors, whose sum is σ = 1015381667664. Its totient is φ = 59029585920.

The previous prime is 255697088371. The next prime is 255697088407. The reversal of 255697088400 is 4880796552.

255697088400 is a `hidden beast` number, since 2 + 5 + 569 + 70 + 8 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 148406775696 + 107290312704 = 385236^2 + 327552^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (255697088407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 443148912 + ... + 443149488.

Almost surely, 2^255697088400 is an apocalyptic number.

255697088400 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 255697088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507690833832).

255697088400 is an abundant number, since it is smaller than the sum of its proper divisors (759684579264).

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

255697088400 is a wasteful number, since it uses less digits than its factorization.

255697088400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 255697088400 in words is "two hundred fifty-five billion, six hundred ninety-seven million, eighty-eight thousand, four hundred".