10013804712000 has 1792 divisors, whose sum is σ = 39767533977600. Its totient is φ = 2458062028800.

The previous prime is 10013804711957. The next prime is 10013804712019. The reversal of 10013804712000 is 21740831001.

10013804712000 is a `hidden beast` number, since 10 + 0 + 1 + 380 + 4 + 71 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 50831495902 + ... + 50831496098.

Almost surely, 2^{10013804712000} is an apocalyptic number.

10013804712000 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 10013804712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19883766988800).

10013804712000 is an abundant number, since it is smaller than the sum of its proper divisors (29753729265600).

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

10013804712000 is a wasteful number, since it uses less digits than its factorization.

10013804712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10013804712000 in words is "ten trillion, thirteen billion, eight hundred four million, seven hundred twelve thousand".