521493120000 has 880 divisors, whose sum is σ = 1955282609280. Its totient is φ = 137244672000.

The previous prime is 521493119993. The next prime is 521493120007. The reversal of 521493120000 is 21394125.

521493120000 is a `hidden beast` number, since 52 + 1 + 493 + 120 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (521493119993) and next prime (521493120007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (521493120007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1779839854 + ... + 1779840146.

It is an arithmetic number, because the mean of its divisors is an integer number (2221912056).

Almost surely, 2^521493120000 is an apocalyptic number.

521493120000 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 521493120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977641304640).

521493120000 is an abundant number, since it is smaller than the sum of its proper divisors (1433789489280).

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

521493120000 is a wasteful number, since it uses less digits than its factorization.

521493120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 521493120000 in words is "five hundred twenty-one billion, four hundred ninety-three million, one hundred twenty thousand".