254627134080 has 384 divisors, whose sum is σ = 930922796160. Its totient is φ = 59042734080.

The previous prime is 254627134079. The next prime is 254627134081. The reversal of 254627134080 is 80431726452.

254627134080 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254627134079) and next prime (254627134081).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (254627134081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5319534 + ... + 5367186.

It is an arithmetic number, because the mean of its divisors is an integer number (2424278115).

Almost surely, 2^254627134080 is an apocalyptic number.

254627134080 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 254627134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465461398080).

254627134080 is an abundant number, since it is smaller than the sum of its proper divisors (676295662080).

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

254627134080 is a wasteful number, since it uses less digits than its factorization.

254627134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47720 (or 47697 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 254627134080 in words is "two hundred fifty-four billion, six hundred twenty-seven million, one hundred thirty-four thousand, eighty".