255733632000 has 2112 divisors, whose sum is σ = 1217651235840. Its totient is φ = 51425280000.

The previous prime is 255733631977. The next prime is 255733632053. The reversal of 255733632000 is 236337552.

255733632000 is a `hidden beast` number, since 2 + 5 + 573 + 3 + 63 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×255733632000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 8249471985 + ... + 8249472015.

Almost surely, 2^255733632000 is an apocalyptic number.

255733632000 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 255733632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608825617920).

255733632000 is an abundant number, since it is smaller than the sum of its proper divisors (961917603840).

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

255733632000 is a wasteful number, since it uses less digits than its factorization.

255733632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

Adding to 255733632000 its reverse (236337552), we get a palindrome (255969969552).

The spelling of 255733632000 in words is "two hundred fifty-five billion, seven hundred thirty-three million, six hundred thirty-two thousand".