521724461161200 has 480 divisors, whose sum is σ = 1902818477394432. Its totient is φ = 120956723712000.

The previous prime is 521724461161157. The next prime is 521724461161219. The reversal of 521724461161200 is 2161164427125.

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, 1633511922 + ... + 1633831278.

Almost surely, 2^{521724461161200} is an apocalyptic number.

521724461161200 is a gapful number since it is divisible by the number (50) 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 521724461161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951409238697216).

521724461161200 is an abundant number, since it is smaller than the sum of its proper divisors (1381094016233232).

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

521724461161200 is a wasteful number, since it uses less digits than its factorization.

521724461161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324793 (or 324782 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 521724461161200 in words is "five hundred twenty-one trillion, seven hundred twenty-four billion, four hundred sixty-one million, one hundred sixty-one thousand, two hundred".