200752791516480 has 448 divisors, whose sum is σ = 741040750356480. Its totient is φ = 45093494071296.

The previous prime is 200752791516463. The next prime is 200752791516499. The reversal of 200752791516480 is 84615197257002.

200752791516480 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 (448).

It is a super-2 number, since 2×200752791516480² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200752791516480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1204026399 + ... + 1204193121.

It is an arithmetic number, because the mean of its divisors is an integer number (1654108817760).

Almost surely, 2^{200752791516480} is an apocalyptic number.

200752791516480 is a gapful number since it is divisible by the number (20) 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 200752791516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370520375178240).

200752791516480 is an abundant number, since it is smaller than the sum of its proper divisors (540287958840000).

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

200752791516480 is a wasteful number, since it uses less digits than its factorization.

200752791516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169846 (or 169836 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 200752791516480 in words is "two hundred trillion, seven hundred fifty-two billion, seven hundred ninety-one million, five hundred sixteen thousand, four hundred eighty".