2001327651072 has 144 divisors (see below), whose sum is σ = 5923941240000. Its totient is φ = 666470854656.

The previous prime is 2001327651023. The next prime is 2001327651121. The reversal of 2001327651072 is 2701567231002.

2001327651072 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 2 + 76 + 510 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (2001327651023) and next prime (2001327651121).

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 15 ways as a sum of consecutive naturals, for example, 7112679 + ... + 7388697.

Almost surely, 2^{2001327651072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001327651072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961970620000).

2001327651072 is an abundant number, since it is smaller than the sum of its proper divisors (3922613588928).

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

2001327651072 is a wasteful number, since it uses less digits than its factorization.

2001327651072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277093 (or 277073 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

It can be divided in two parts, 200132 and 7651072, that added together give a square (7851204 = 2802²).

The spelling of 2001327651072 in words is "two trillion, one billion, three hundred twenty-seven million, six hundred fifty-one thousand, seventy-two".