10001832721920 has 960 divisors, whose sum is σ = 38904753311424. Its totient is φ = 2448029122560.

The previous prime is 10001832721849. The next prime is 10001832721939. The reversal of 10001832721920 is 2912723810001.

10001832721920 is a `hidden beast` number, since 100 + 0 + 18 + 327 + 219 + 2 + 0 = 666.

10001832721920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1463750824 + ... + 1463757656.

Almost surely, 2^{10001832721920} is an apocalyptic number.

10001832721920 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 10001832721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19452376655712).

10001832721920 is an abundant number, since it is smaller than the sum of its proper divisors (28902920589504).

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

10001832721920 is an equidigital number, since it uses as much as digits as its factorization.

10001832721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7065 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10001832721920 in words is "ten trillion, one billion, eight hundred thirty-two million, seven hundred twenty-one thousand, nine hundred twenty".