254561640480 has 648 divisors, whose sum is σ = 1026064516932. Its totient is φ = 57303687168.

The previous prime is 254561640461. The next prime is 254561640497. The reversal of 254561640480 is 84046165452.

It is a happy number.

254561640480 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 6 + 164 + 0 + 480 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 209503936656 + 45057703824 = 457716^2 + 212268^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 376013902 + ... + 376014578.

Almost surely, 2^254561640480 is an apocalyptic number.

254561640480 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 254561640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513032258466).

254561640480 is an abundant number, since it is smaller than the sum of its proper divisors (771502876452).

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

254561640480 is a wasteful number, since it uses less digits than its factorization.

254561640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 254561640480 in words is "two hundred fifty-four billion, five hundred sixty-one million, six hundred forty thousand, four hundred eighty".