10059561771840 has 1120 divisors, whose sum is σ = 42751043174400. Its totient is φ = 2196892938240.

The previous prime is 10059561771829. The next prime is 10059561771841. The reversal of 10059561771840 is 4817716595001.

10059561771840 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 9 + 5 + 617 + 7 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10059561771841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 444335241 + ... + 444357879.

Almost surely, 2^{10059561771840} is an apocalyptic number.

10059561771840 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 10059561771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21375521587200).

10059561771840 is an abundant number, since it is smaller than the sum of its proper divisors (32691481402560).

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

10059561771840 is a wasteful number, since it uses less digits than its factorization.

10059561771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22785 (or 22766 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 10059561771840 in words is "ten trillion, fifty-nine billion, five hundred sixty-one million, seven hundred seventy-one thousand, eight hundred forty".