285507420135840 has 1152 divisors, whose sum is σ = 1195883795957760. Its totient is φ = 62937486839808.

The previous prime is 285507420135797. The next prime is 285507420135877. The reversal of 285507420135840 is 48531024705582.

It is a happy number.

285507420135840 is a `hidden beast` number, since 2 + 8 + 5 + 5 + 0 + 7 + 42 + 0 + 13 + 584 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7158604539 + ... + 7158644421.

It is an arithmetic number, because the mean of its divisors is an integer number (1038093572880).

Almost surely, 2^{285507420135840} is an apocalyptic number.

285507420135840 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 285507420135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597941897978880).

285507420135840 is an abundant number, since it is smaller than the sum of its proper divisors (910376375821920).

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

285507420135840 is a wasteful number, since it uses less digits than its factorization.

285507420135840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40856 (or 40836 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 285507420135840 in words is "two hundred eighty-five trillion, five hundred seven billion, four hundred twenty million, one hundred thirty-five thousand, eight hundred forty".