1001896846720 has 512 divisors, whose sum is σ = 3092630077440. Its totient is φ = 301213900800.

The previous prime is 1001896846697. The next prime is 1001896846729. The reversal of 1001896846720 is 276486981001.

It is a super-3 number, since 3×1001896846720³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001896846729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 560657667 + ... + 560659453.

It is an arithmetic number, because the mean of its divisors is an integer number (6040293120).

Almost surely, 2^{1001896846720} is an apocalyptic number.

1001896846720 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 1001896846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546315038720).

1001896846720 is an abundant number, since it is smaller than the sum of its proper divisors (2090733230720).

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

1001896846720 is a wasteful number, since it uses less digits than its factorization.

1001896846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 1001896846720 in words is "one trillion, one billion, eight hundred ninety-six million, eight hundred forty-six thousand, seven hundred twenty".