254801479680 has 1344 divisors, whose sum is σ = 1044122788800. Its totient is φ = 59082670080.

The previous prime is 254801479589. The next prime is 254801479711. The reversal of 254801479680 is 86974108452.

It is a happy number.

254801479680 is a `hidden beast` number, since 2 + 5 + 480 + 14 + 79 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2381322187 + ... + 2381322293.

It is an arithmetic number, because the mean of its divisors is an integer number (776877075).

Almost surely, 2^254801479680 is an apocalyptic number.

254801479680 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 254801479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522061394400).

254801479680 is an abundant number, since it is smaller than the sum of its proper divisors (789321309120).

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

254801479680 is a wasteful number, since it uses less digits than its factorization.

254801479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 254801479680 in words is "two hundred fifty-four billion, eight hundred one million, four hundred seventy-nine thousand, six hundred eighty".