255653949343200 has 576 divisors, whose sum is σ = 856843915479552. Its totient is φ = 66172642099200.

The previous prime is 255653949343147. The next prime is 255653949343207. The reversal of 255653949343200 is 2343949356552.

It is a super-2 number, since 2×255653949343200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255653949343207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12527747397 + ... + 12527767803.

It is an arithmetic number, because the mean of its divisors is an integer number (1487576242152).

Almost surely, 2^{255653949343200} is an apocalyptic number.

255653949343200 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 255653949343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428421957739776).

255653949343200 is an abundant number, since it is smaller than the sum of its proper divisors (601189966136352).

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

255653949343200 is a wasteful number, since it uses less digits than its factorization.

255653949343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21227 (or 21214 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 60.

The spelling of 255653949343200 in words is "two hundred fifty-five trillion, six hundred fifty-three billion, nine hundred forty-nine million, three hundred forty-three thousand, two hundred".