254851279594560 has 784 divisors, whose sum is σ = 1016807214552192. Its totient is φ = 60275222323200.

The previous prime is 254851279594547. The next prime is 254851279594577. The reversal of 254851279594560 is 65495972158452.

254851279594560 is a `hidden beast` number, since 2 + 5 + 4 + 8 + 5 + 1 + 2 + 7 + 9 + 59 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 103998117 + ... + 106420443.

Almost surely, 2^{254851279594560} is an apocalyptic number.

254851279594560 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 254851279594560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508403607276096).

254851279594560 is an abundant number, since it is smaller than the sum of its proper divisors (761955934957632).

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

254851279594560 is a wasteful number, since it uses less digits than its factorization.

254851279594560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422414 (or 2422389 counting only the distinct ones).

The product of its (nonzero) digits is 1088640000, while the sum is 72.

The spelling of 254851279594560 in words is "two hundred fifty-four trillion, eight hundred fifty-one billion, two hundred seventy-nine million, five hundred ninety-four thousand, five hundred sixty".