254807998080 has 128 divisors (see below), whose sum is σ = 812395336320. Its totient is φ = 67932499968.

The previous prime is 254807998069. The next prime is 254807998103. The reversal of 254807998080 is 80899708452.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9457909 + ... + 9484811.

It is an arithmetic number, because the mean of its divisors is an integer number (6346838565).

Almost surely, 2^254807998080 is an apocalyptic number.

254807998080 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 254807998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406197668160).

254807998080 is an abundant number, since it is smaller than the sum of its proper divisors (557587338240).

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

254807998080 is a wasteful number, since it uses less digits than its factorization.

254807998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31858 (or 31846 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 254807998080 in words is "two hundred fifty-four billion, eight hundred seven million, nine hundred ninety-eight thousand, eighty".