10059785864640 has 1344 divisors, whose sum is σ = 37705513697280. Its totient is φ = 2456598896640.

The previous prime is 10059785864573. The next prime is 10059785864659. The reversal of 10059785864640 is 4646858795001.

10059785864640 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 9 + 7 + 8 + 586 + 4 + 6 + 40 = 666.

It is a congruent number.

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, 22915229541 + ... + 22915229979.

Almost surely, 2^{10059785864640} is an apocalyptic number.

10059785864640 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 10059785864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18852756848640).

10059785864640 is an abundant number, since it is smaller than the sum of its proper divisors (27645727832640).

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

10059785864640 is a wasteful number, since it uses less digits than its factorization.

10059785864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 10059785864640 in words is "ten trillion, fifty-nine billion, seven hundred eighty-five million, eight hundred sixty-four thousand, six hundred forty".