255201972480 has 1296 divisors, whose sum is σ = 1122139811520. Its totient is φ = 53069119488.

The previous prime is 255201972479. The next prime is 255201972481. The reversal of 255201972480 is 84279102552.

255201972480 is a `hidden beast` number, since 2 + 5 + 520 + 19 + 72 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (255201972479) and next prime (255201972481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (255201972481) 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, 609073711 + ... + 609074129.

It is an arithmetic number, because the mean of its divisors is an integer number (865848620).

Almost surely, 2^255201972480 is an apocalyptic number.

255201972480 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 255201972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561069905760).

255201972480 is an abundant number, since it is smaller than the sum of its proper divisors (866937839040).

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

255201972480 is a wasteful number, since it uses less digits than its factorization.

255201972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 255201972480 in words is "two hundred fifty-five billion, two hundred one million, nine hundred seventy-two thousand, four hundred eighty".