1001505216672 has 144 divisors (see below), whose sum is σ = 2870322535080. Its totient is φ = 331224662016.

The previous prime is 1001505216659. The next prime is 1001505216689. The reversal of 1001505216672 is 2766125051001.

1001505216672 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 5 + 0 + 521 + 66 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 885172378896 + 116332837776 = 940836^2 + 341076^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 91098408 + ... + 91109400.

Almost surely, 2^{1001505216672} is an apocalyptic number.

1001505216672 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 1001505216672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435161267540).

1001505216672 is an abundant number, since it is smaller than the sum of its proper divisors (1868817318408).

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

1001505216672 is a wasteful number, since it uses less digits than its factorization.

1001505216672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13455 (or 13444 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 1001505216672 in words is "one trillion, one billion, five hundred five million, two hundred sixteen thousand, six hundred seventy-two".