255200106624 has 128 divisors (see below), whose sum is σ = 711604224000. Its totient is φ = 80927093760.

The previous prime is 255200106619. The next prime is 255200106649. The reversal of 255200106624 is 426601002552.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520657 + ... + 884015.

It is an arithmetic number, because the mean of its divisors is an integer number (5559408000).

Almost surely, 2^255200106624 is an apocalyptic number.

255200106624 is a gapful number since it is divisible by the number (24) 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 255200106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355802112000).

255200106624 is an abundant number, since it is smaller than the sum of its proper divisors (456404117376).

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

255200106624 is a wasteful number, since it uses less digits than its factorization.

255200106624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363466 (or 363454 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 255200106624 in words is "two hundred fifty-five billion, two hundred million, one hundred six thousand, six hundred twenty-four".