10005747481704 has 128 divisors (see below), whose sum is σ = 27206614512000. Its totient is φ = 3048099185664.

The previous prime is 10005747481651. The next prime is 10005747481729. The reversal of 10005747481704 is 40718474750001.

It is a super-2 number, since 2×10005747481704² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44335902 + ... + 44561010.

It is an arithmetic number, because the mean of its divisors is an integer number (212551675875).

Almost surely, 2^{10005747481704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005747481704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13603307256000).

10005747481704 is an abundant number, since it is smaller than the sum of its proper divisors (17200867030296).

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

10005747481704 is a wasteful number, since it uses less digits than its factorization.

10005747481704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226547 (or 226543 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 48.

The spelling of 10005747481704 in words is "ten trillion, five billion, seven hundred forty-seven million, four hundred eighty-one thousand, seven hundred four".