10285605540 has 576 divisors, whose sum is σ = 40255488000. Its totient is φ = 2069286912.

The previous prime is 10285605529. The next prime is 10285605541. The reversal of 10285605540 is 4550658201.

10285605540 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 5 + 605 + 5 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10285605495 and 10285605504.

It is not an unprimeable number, because it can be changed into a prime (10285605541) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51686361 + ... + 51686559.

It is an arithmetic number, because the mean of its divisors is an integer number (69888000).

Almost surely, 2^10285605540 is an apocalyptic number.

10285605540 is a gapful number since it is divisible by the number (10) 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 10285605540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20127744000).

10285605540 is an abundant number, since it is smaller than the sum of its proper divisors (29969882460).

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

10285605540 is a wasteful number, since it uses less digits than its factorization.

10285605540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 10285605540 in words is "ten billion, two hundred eighty-five million, six hundred five thousand, five hundred forty".