512380753920 has 960 divisors, whose sum is σ = 2142916776000. Its totient is φ = 117050572800.

The previous prime is 512380753897. The next prime is 512380753921. The reversal of 512380753920 is 29357083215.

512380753920 is a `hidden beast` number, since 5 + 12 + 3 + 80 + 7 + 539 + 20 = 666.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512380753921) 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, 284497020 + ... + 284498820.

It is an arithmetic number, because the mean of its divisors is an integer number (2232204975).

Almost surely, 2^512380753920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512380753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071458388000).

512380753920 is an abundant number, since it is smaller than the sum of its proper divisors (1630536022080).

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

512380753920 is an equidigital number, since it uses as much as digits as its factorization.

512380753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 512380753920 in words is "five hundred twelve billion, three hundred eighty million, seven hundred fifty-three thousand, nine hundred twenty".