10016674336000 has 576 divisors, whose sum is σ = 26188351338240. Its totient is φ = 3813765120000.

The previous prime is 10016674335989. The next prime is 10016674336001. The reversal of 10016674336000 is 63347661001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10016674336001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23906143791 + ... + 23906144209.

It is an arithmetic number, because the mean of its divisors is an integer number (45465887740).

Almost surely, 2^{10016674336000} is an apocalyptic number.

10016674336000 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 10016674336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094175669120).

10016674336000 is an abundant number, since it is smaller than the sum of its proper divisors (16171677002240).

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

10016674336000 is an equidigital number, since it uses as much as digits as its factorization.

10016674336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 10016674336000 in words is "ten trillion, sixteen billion, six hundred seventy-four million, three hundred thirty-six thousand".