285902472960 has 720 divisors, whose sum is σ = 1127554073184. Its totient is φ = 68725407744.

The previous prime is 285902472949. The next prime is 285902472967. The reversal of 285902472960 is 69274209582.

285902472960 is a `hidden beast` number, since 2 + 8 + 590 + 2 + 47 + 2 + 9 + 6 + 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 285902472897 and 285902472906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285902472967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57954654 + ... + 57959586.

Almost surely, 2^285902472960 is an apocalyptic number.

285902472960 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 285902472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563777036592).

285902472960 is an abundant number, since it is smaller than the sum of its proper divisors (841651600224).

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

285902472960 is a wasteful number, since it uses less digits than its factorization.

285902472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 285902472960 in words is "two hundred eighty-five billion, nine hundred two million, four hundred seventy-two thousand, nine hundred sixty".