10016583268000 has 48 divisors (see below), whose sum is σ = 24610745099304. Its totient is φ = 4006633305600.

The previous prime is 10016583267991. The next prime is 10016583268001. The reversal of 10016583268000 is 86238561001.

It can be written as a sum of positive squares in 4 ways, for example, as 4596272907664 + 5420310360336 = 2143892^2 + 2328156^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10016583268001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1252068909 + ... + 1252076908.

Almost surely, 2^{10016583268000} is an apocalyptic number.

10016583268000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10016583268000 is an abundant number, since it is smaller than the sum of its proper divisors (14594161831304).

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

10016583268000 is an equidigital number, since it uses as much as digits as its factorization.

10016583268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504145842 (or 2504145824 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 10016583268000 in words is "ten trillion, sixteen billion, five hundred eighty-three million, two hundred sixty-eight thousand".