285477953402880 has 6144 divisors, whose sum is σ = 1325110026240000. Its totient is φ = 56858486243328.

The previous prime is 285477953402869. The next prime is 285477953402977. The reversal of 285477953402880 is 88204359774582.

285477953402880 is a `hidden beast` number, since 2 + 8 + 5 + 4 + 7 + 7 + 9 + 534 + 0 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 285477953402799 and 285477953402808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2053798225851 + ... + 2053798225989.

It is an arithmetic number, because the mean of its divisors is an integer number (215675460000).

Almost surely, 2^{285477953402880} is an apocalyptic number.

285477953402880 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 285477953402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662555013120000).

285477953402880 is an abundant number, since it is smaller than the sum of its proper divisors (1039632072837120).

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

285477953402880 is a wasteful number, since it uses less digits than its factorization.

285477953402880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 285477953402880 in words is "two hundred eighty-five trillion, four hundred seventy-seven billion, nine hundred fifty-three million, four hundred two thousand, eight hundred eighty".