254968289730 has 1024 divisors, whose sum is σ = 967856947200. Its totient is φ = 46088663040.

The previous prime is 254968289717. The next prime is 254968289761. The reversal of 254968289730 is 37982869452.

254968289730 is a `hidden beast` number, since 2 + 5 + 496 + 8 + 28 + 97 + 30 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 288751869 + ... + 288752751.

It is an arithmetic number, because the mean of its divisors is an integer number (945172800).

Almost surely, 2^254968289730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254968289730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483928473600).

254968289730 is an abundant number, since it is smaller than the sum of its proper divisors (712888657470).

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

254968289730 is a wasteful number, since it uses less digits than its factorization.

254968289730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 254968289730 in words is "two hundred fifty-four billion, nine hundred sixty-eight million, two hundred eighty-nine thousand, seven hundred thirty".