10006740486252 has 216 divisors, whose sum is σ = 26804249952480. Its totient is φ = 3147262387200.

The previous prime is 10006740486221. The next prime is 10006740486263. The reversal of 10006740486252 is 25268404760001.

10006740486252 is a `hidden beast` number, since 10 + 0 + 0 + 6 + 7 + 4 + 0 + 4 + 8 + 625 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10006740486198 and 10006740486207.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3922672377 + ... + 3922674927.

It is an arithmetic number, because the mean of its divisors is an integer number (124093749780).

Almost surely, 2^{10006740486252} is an apocalyptic number.

10006740486252 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 10006740486252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13402124976240).

10006740486252 is an abundant number, since it is smaller than the sum of its proper divisors (16797509466228).

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

10006740486252 is a wasteful number, since it uses less digits than its factorization.

10006740486252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3677 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10006740486252 in words is "ten trillion, six billion, seven hundred forty million, four hundred eighty-six thousand, two hundred fifty-two".