254520364320 has 480 divisors, whose sum is σ = 934833493440. Its totient is φ = 65161635840.

The previous prime is 254520364313. The next prime is 254520364321. The reversal of 254520364320 is 23463025452.

254520364320 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 2 + 0 + 3 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (254520364321) 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, 32875650 + ... + 32883390.

It is an arithmetic number, because the mean of its divisors is an integer number (1947569778).

Almost surely, 2^254520364320 is an apocalyptic number.

254520364320 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 254520364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467416746720).

254520364320 is an abundant number, since it is smaller than the sum of its proper divisors (680313129120).

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

254520364320 is a wasteful number, since it uses less digits than its factorization.

254520364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7870 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 254520364320 its reverse (23463025452), we get a palindrome (277983389772).

The spelling of 254520364320 in words is "two hundred fifty-four billion, five hundred twenty million, three hundred sixty-four thousand, three hundred twenty".