10059743292004 has 96 divisors (see below), whose sum is σ = 21544290157824. Its totient is φ = 4011833180160.

The previous prime is 10059743291981. The next prime is 10059743292007. The reversal of 10059743292004 is 40029234795001.

10059743292004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10059743292007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45924219 + ... + 46142749.

It is an arithmetic number, because the mean of its divisors is an integer number (224419689144).

Almost surely, 2^{10059743292004} is an apocalyptic number.

10059743292004 is a gapful number since it is divisible by the number (14) 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 10059743292004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772145078912).

10059743292004 is an abundant number, since it is smaller than the sum of its proper divisors (11484546865820).

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

10059743292004 is a wasteful number, since it uses less digits than its factorization.

10059743292004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219653 (or 219651 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 10059743292004 in words is "ten trillion, fifty-nine billion, seven hundred forty-three million, two hundred ninety-two thousand, four".