10002965486976 has 2304 divisors, whose sum is σ = 40445971937280. Its totient is φ = 2310204948480.

The previous prime is 10002965486929. The next prime is 10002965486977. The reversal of 10002965486976 is 67968456920001.

10002965486976 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 9 + 65 + 486 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002965486977) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59897996845 + ... + 59897997011.

It is an arithmetic number, because the mean of its divisors is an integer number (17554675320).

Almost surely, 2^{10002965486976} is an apocalyptic number.

10002965486976 is a gapful number since it is divisible by the number (16) 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 10002965486976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20222985968640).

10002965486976 is an abundant number, since it is smaller than the sum of its proper divisors (30443006450304).

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

10002965486976 is a wasteful number, since it uses less digits than its factorization.

10002965486976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 10002965486976 in words is "ten trillion, two billion, nine hundred sixty-five million, four hundred eighty-six thousand, nine hundred seventy-six".