254648862720 has 960 divisors, whose sum is σ = 1061707046400. Its totient is φ = 57171640320.

The previous prime is 254648862683. The next prime is 254648862763. The reversal of 254648862720 is 27268846452.

254648862720 is a `hidden beast` number, since 2 + 5 + 4 + 6 + 4 + 8 + 8 + 627 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 354170521 + ... + 354171239.

It is an arithmetic number, because the mean of its divisors is an integer number (1105944840).

Almost surely, 2^254648862720 is an apocalyptic number.

254648862720 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 254648862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530853523200).

254648862720 is an abundant number, since it is smaller than the sum of its proper divisors (807058183680).

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

254648862720 is an equidigital number, since it uses as much as digits as its factorization.

254648862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 254648862720 in words is "two hundred fifty-four billion, six hundred forty-eight million, eight hundred sixty-two thousand, seven hundred twenty".