254960640000 has 840 divisors, whose sum is σ = 1006003750752. Its totient is φ = 61685760000.

The previous prime is 254960639993. The next prime is 254960640001. The reversal of 254960640000 is 46069452.

254960640000 is a `hidden beast` number, since 2 + 5 + 4 + 9 + 6 + 0 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (254960640001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 506879749 + ... + 506880251.

Almost surely, 2^254960640000 is an apocalyptic number.

254960640000 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 254960640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503001875376).

254960640000 is an abundant number, since it is smaller than the sum of its proper divisors (751043110752).

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

254960640000 is an equidigital number, since it uses as much as digits as its factorization.

254960640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 254960640000 in words is "two hundred fifty-four billion, nine hundred sixty million, six hundred forty thousand".