285147072000 has 720 divisors, whose sum is σ = 1194845569632. Its totient is φ = 65170022400.

The previous prime is 285147071939. The next prime is 285147072011. The reversal of 285147072000 is 270741582.

285147072000 is a `hidden beast` number, since 2 + 8 + 514 + 70 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28218949 + ... + 28229051.

Almost surely, 2^285147072000 is an apocalyptic number.

285147072000 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 285147072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597422784816).

285147072000 is an abundant number, since it is smaller than the sum of its proper divisors (909698497632).

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

285147072000 is a wasteful number, since it uses less digits than its factorization.

285147072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10156 (or 10120 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 285147072000 in words is "two hundred eighty-five billion, one hundred forty-seven million, seventy-two thousand".