10005147890712 has 192 divisors, whose sum is σ = 30152333352960. Its totient is φ = 2976301843200.

The previous prime is 10005147890657. The next prime is 10005147890779. The reversal of 10005147890712 is 21709874150001.

It is a happy number.

10005147890712 is a `hidden beast` number, since 100 + 0 + 5 + 1 + 478 + 9 + 0 + 71 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29748273 + ... + 30082719.

It is an arithmetic number, because the mean of its divisors is an integer number (157043402880).

Almost surely, 2^{10005147890712} is an apocalyptic number.

10005147890712 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 10005147890712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15076166676480).

10005147890712 is an abundant number, since it is smaller than the sum of its proper divisors (20147185462248).

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

10005147890712 is a wasteful number, since it uses less digits than its factorization.

10005147890712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335534 (or 335527 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 10005147890712 in words is "ten trillion, five billion, one hundred forty-seven million, eight hundred ninety thousand, seven hundred twelve".