10006394147520 has 448 divisors, whose sum is σ = 33124076113920. Its totient is φ = 2557229875200.

The previous prime is 10006394147513. The next prime is 10006394147579. The reversal of 10006394147520 is 2574149360001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1060106961 + ... + 1060116399.

Almost surely, 2^{10006394147520} is an apocalyptic number.

10006394147520 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 10006394147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16562038056960).

10006394147520 is an abundant number, since it is smaller than the sum of its proper divisors (23117681966400).

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

10006394147520 is a wasteful number, since it uses less digits than its factorization.

10006394147520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9984 (or 9974 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 10006394147520 in words is "ten trillion, six billion, three hundred ninety-four million, one hundred forty-seven thousand, five hundred twenty".