254197354536960 has 448 divisors, whose sum is σ = 822716230469760. Its totient is φ = 67010895544320.

The previous prime is 254197354536959. The next prime is 254197354536967. The reversal of 254197354536960 is 69635453791452.

It is not an unprimeable number, because it can be changed into a prime (254197354536967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5933485140 + ... + 5933527980.

Almost surely, 2^{254197354536960} is an apocalyptic number.

254197354536960 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 254197354536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411358115234880).

254197354536960 is an abundant number, since it is smaller than the sum of its proper divisors (568518875932800).

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

254197354536960 is a wasteful number, since it uses less digits than its factorization.

254197354536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43427 (or 43403 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 69.

The spelling of 254197354536960 in words is "two hundred fifty-four trillion, one hundred ninety-seven billion, three hundred fifty-four million, five hundred thirty-six thousand, nine hundred sixty".