255978455040 has 1440 divisors, whose sum is σ = 1154170128384. Its totient is φ = 52871823360.

The previous prime is 255978455023. The next prime is 255978455071. The reversal of 255978455040 is 40554879552.

255978455040 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 7 + 84 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1532805037 + ... + 1532805203.

Almost surely, 2^255978455040 is an apocalyptic number.

255978455040 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 255978455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577085064192).

255978455040 is an abundant number, since it is smaller than the sum of its proper divisors (898191673344).

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

255978455040 is an equidigital number, since it uses as much as digits as its factorization.

255978455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 255978455040 in words is "two hundred fifty-five billion, nine hundred seventy-eight million, four hundred fifty-five thousand, forty".