254878243200 has 864 divisors, whose sum is σ = 1064912589000. Its totient is φ = 57875005440.

The previous prime is 254878243199. The next prime is 254878243223. The reversal of 254878243200 is 2342878452.

254878243200 is a `hidden beast` number, since 2 + 548 + 7 + 82 + 4 + 3 + 20 + 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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 252604296 + ... + 252605304.

Almost surely, 2^254878243200 is an apocalyptic number.

254878243200 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 254878243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532456294500).

254878243200 is an abundant number, since it is smaller than the sum of its proper divisors (810034345800).

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

254878243200 is a wasteful number, since it uses less digits than its factorization.

254878243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 254878243200 in words is "two hundred fifty-four billion, eight hundred seventy-eight million, two hundred forty-three thousand, two hundred".