255198749584 has 225 divisors, whose sum is σ = 579610332903. Its totient is φ = 108826172928.

The previous prime is 255198749581. The next prime is 255198749621. The reversal of 255198749584 is 485947891552.

The square root of 255198749584 is 505172.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 79201719184 + 175997030400 = 281428^2 + 419520^2 .

It is a Duffinian number.

Its product of digits (145152000) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (255198749581) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11095597797 + ... + 11095597819.

Almost surely, 2^255198749584 is an apocalyptic number.

255198749584 is the 505172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255198749584

255198749584 is an abundant number, since it is smaller than the sum of its proper divisors (324411583319).

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

255198749584 is an frugal number, since it uses more digits than its factorization.

255198749584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 61 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 67.

The spelling of 255198749584 in words is "two hundred fifty-five billion, one hundred ninety-eight million, seven hundred forty-nine thousand, five hundred eighty-four".