285527785104 has 75 divisors (see below), whose sum is σ = 826455928243. Its totient is φ = 95169516192.

The previous prime is 285527785099. The next prime is 285527785117. The reversal of 285527785104 is 401587725582.

It is a happy number.

The square root of 285527785104 is 534348.

It is a perfect power (a square), and thus also a powerful number.

285527785104 is a `hidden beast` number, since 2 + 8 + 5 + 52 + 7 + 78 + 510 + 4 = 666.

It is a super-2 number, since 2×285527785104² (a number of 24 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 19229107 + ... + 19243949.

Almost surely, 2^285527785104 is an apocalyptic number.

285527785104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

285527785104 is the 534348-th square number.

It is an amenable number.

285527785104 is an abundant number, since it is smaller than the sum of its proper divisors (540928143139).

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

285527785104 is an frugal number, since it uses more digits than its factorization.

285527785104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29706 (or 14848 counting only the distinct ones).

The product of its (nonzero) digits is 6272000, while the sum is 54.

The spelling of 285527785104 in words is "two hundred eighty-five billion, five hundred twenty-seven million, seven hundred eighty-five thousand, one hundred four".