254581081920 has 1120 divisors, whose sum is σ = 1066840574976. Its totient is φ = 56932761600.

The previous prime is 254581081879. The next prime is 254581081949. The reversal of 254581081920 is 29180185452.

254581081920 is a `hidden beast` number, since 2 + 5 + 458 + 1 + 0 + 8 + 192 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 256892625 + ... + 256893615.

Almost surely, 2^254581081920 is an apocalyptic number.

254581081920 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 254581081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533420287488).

254581081920 is an abundant number, since it is smaller than the sum of its proper divisors (812259493056).

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

254581081920 is a wasteful number, since it uses less digits than its factorization.

254581081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 254581081920 in words is "two hundred fifty-four billion, five hundred eighty-one million, eighty-one thousand, nine hundred twenty".