10285739142840 has 384 divisors, whose sum is σ = 39102517808640. Its totient is φ = 2295771061248.

The previous prime is 10285739142781. The next prime is 10285739142841. The reversal of 10285739142840 is 4824193758201.

10285739142840 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 573 + 9 + 1 + 4 + 28 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10285739142841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 542115594 + ... + 542134566.

It is an arithmetic number, because the mean of its divisors is an integer number (101829473460).

Almost surely, 2^{10285739142840} is an apocalyptic number.

10285739142840 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 10285739142840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19551258904320).

10285739142840 is an abundant number, since it is smaller than the sum of its proper divisors (28816778665800).

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

10285739142840 is a wasteful number, since it uses less digits than its factorization.

10285739142840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24043 (or 24036 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10285739142840 in words is "ten trillion, two hundred eighty-five billion, seven hundred thirty-nine million, one hundred forty-two thousand, eight hundred forty".