281604052080 has 480 divisors, whose sum is σ = 1113183751680. Its totient is φ = 63134760960.

The previous prime is 281604052057. The next prime is 281604052109. The reversal of 281604052080 is 80250406182.

281604052080 is a `hidden beast` number, since 2 + 8 + 16 + 0 + 40 + 520 + 80 = 666.

It is a super-3 number, since 3×281604052080³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4904176 + ... + 4961264.

It is an arithmetic number, because the mean of its divisors is an integer number (2319132816).

Almost surely, 2^281604052080 is an apocalyptic number.

281604052080 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 281604052080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556591875840).

281604052080 is an abundant number, since it is smaller than the sum of its proper divisors (831579699600).

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

281604052080 is a wasteful number, since it uses less digits than its factorization.

281604052080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57169 (or 57160 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 281604052080 in words is "two hundred eighty-one billion, six hundred four million, fifty-two thousand, eighty".