285942513240 has 576 divisors, whose sum is σ = 1036427464800. Its totient is φ = 68138496000.

The previous prime is 285942513191. The next prime is 285942513253. The reversal of 285942513240 is 42315249582.

285942513240 is a `hidden beast` number, since 2 + 8 + 5 + 94 + 2 + 513 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 269502310 + ... + 269503370.

Almost surely, 2^285942513240 is an apocalyptic number.

285942513240 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 285942513240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518213732400).

285942513240 is an abundant number, since it is smaller than the sum of its proper divisors (750484951560).

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

285942513240 is a wasteful number, since it uses less digits than its factorization.

285942513240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 285942513240 in words is "two hundred eighty-five billion, nine hundred forty-two million, five hundred thirteen thousand, two hundred forty".