254061895680 has 896 divisors, whose sum is σ = 968195980800. Its totient is φ = 63021514752.

The previous prime is 254061895639. The next prime is 254061895733. The reversal of 254061895680 is 86598160452.

254061895680 is a `hidden beast` number, since 2 + 5 + 406 + 189 + 56 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2248335304 + ... + 2248335416.

Almost surely, 2^254061895680 is an apocalyptic number.

254061895680 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 254061895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484097990400).

254061895680 is an abundant number, since it is smaller than the sum of its proper divisors (714134085120).

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

254061895680 is a wasteful number, since it uses less digits than its factorization.

254061895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 254061895680 in words is "two hundred fifty-four billion, sixty-one million, eight hundred ninety-five thousand, six hundred eighty".