255079093248 has 880 divisors, whose sum is σ = 944745588864. Its totient is φ = 66886041600.

The previous prime is 255079093123. The next prime is 255079093249. The reversal of 255079093248 is 842390970552.

255079093248 is a `hidden beast` number, since 2 + 5 + 507 + 9 + 0 + 93 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 255079093194 and 255079093203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255079093249) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 424424148 + ... + 424424748.

Almost surely, 2^255079093248 is an apocalyptic number.

255079093248 is a gapful number since it is divisible by the number (28) 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 255079093248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472372794432).

255079093248 is an abundant number, since it is smaller than the sum of its proper divisors (689666495616).

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

255079093248 is a wasteful number, since it uses less digits than its factorization.

255079093248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 255079093248 in words is "two hundred fifty-five billion, seventy-nine million, ninety-three thousand, two hundred forty-eight".