254679999120 has 640 divisors, whose sum is σ = 975737548800. Its totient is φ = 61524334080.

The previous prime is 254679999107. The next prime is 254679999131. The reversal of 254679999120 is 21999976452.

254679999120 is a `hidden beast` number, since 2 + 546 + 79 + 9 + 9 + 9 + 12 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76455855 + ... + 76459185.

It is an arithmetic number, because the mean of its divisors is an integer number (1524589920).

Almost surely, 2^254679999120 is an apocalyptic number.

254679999120 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 254679999120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487868774400).

254679999120 is an abundant number, since it is smaller than the sum of its proper divisors (721057549680).

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

254679999120 is a wasteful number, since it uses less digits than its factorization.

254679999120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 254679999120 in words is "two hundred fifty-four billion, six hundred seventy-nine million, nine hundred ninety-nine thousand, one hundred twenty".