255418894080 has 864 divisors, whose sum is σ = 1062383422464. Its totient is φ = 57545883648.

The previous prime is 255418894067. The next prime is 255418894097. The reversal of 255418894080 is 80498814552.

255418894080 is a `hidden beast` number, since 2 + 5 + 54 + 188 + 9 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×255418894080² (a number of 24 digits) contains 22 as substring.

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, 158940637 + ... + 158942243.

Almost surely, 2^255418894080 is an apocalyptic number.

255418894080 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 255418894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531191711232).

255418894080 is an abundant number, since it is smaller than the sum of its proper divisors (806964528384).

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

255418894080 is an equidigital number, since it uses as much as digits as its factorization.

255418894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 255418894080 in words is "two hundred fifty-five billion, four hundred eighteen million, eight hundred ninety-four thousand, eighty".