254132055110000 has 200 divisors, whose sum is σ = 617078588442624. Its totient is φ = 101355693280000.

The previous prime is 254132055109997. The next prime is 254132055110111. The reversal of 254132055110000 is 11550231452.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×254132055110000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15117001595 + ... + 15117018405.

Almost surely, 2^{254132055110000} is an apocalyptic number.

254132055110000 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 254132055110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308539294221312).

254132055110000 is an abundant number, since it is smaller than the sum of its proper divisors (362946533332624).

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

254132055110000 is a wasteful number, since it uses less digits than its factorization.

254132055110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21169 (or 21148 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The spelling of 254132055110000 in words is "two hundred fifty-four trillion, one hundred thirty-two billion, fifty-five million, one hundred ten thousand".