10059101194752 has 240 divisors, whose sum is σ = 29164449105792. Its totient is φ = 3337679708160.

The previous prime is 10059101194733. The next prime is 10059101194799. The reversal of 10059101194752 is 25749110195001.

10059101194752 is a `hidden beast` number, since 1 + 0 + 0 + 59 + 10 + 119 + 475 + 2 = 666.

It is a super-2 number, since 2×10059101194752² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10059101194698 and 10059101194707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1142166733 + ... + 1142175539.

Almost surely, 2^{10059101194752} is an apocalyptic number.

10059101194752 is a gapful number since it is divisible by the number (12) 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 10059101194752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582224552896).

10059101194752 is an abundant number, since it is smaller than the sum of its proper divisors (19105347911040).

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

10059101194752 is an equidigital number, since it uses as much as digits as its factorization.

10059101194752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9939 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 45.

The spelling of 10059101194752 in words is "ten trillion, fifty-nine billion, one hundred one million, one hundred ninety-four thousand, seven hundred fifty-two".