281680001552880 has 240 divisors, whose sum is σ = 1081128565932480. Its totient is φ = 64383172964352.

The previous prime is 281680001552869. The next prime is 281680001552899. The reversal of 281680001552880 is 88255100086182.

281680001552880 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 8 + 0 + 0 + 0 + 1 + 552 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×281680001552880² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447202006 + ... + 447831434.

It is an arithmetic number, because the mean of its divisors is an integer number (4504702358052).

Almost surely, 2^{281680001552880} is an apocalyptic number.

281680001552880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

281680001552880 is an abundant number, since it is smaller than the sum of its proper divisors (799448564379600).

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

281680001552880 is a wasteful number, since it uses less digits than its factorization.

281680001552880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718248 (or 718239 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 281680001552880 in words is "two hundred eighty-one trillion, six hundred eighty billion, one million, five hundred fifty-two thousand, eight hundred eighty".