512131082400 has 432 divisors, whose sum is σ = 2153627409024. Its totient is φ = 111968778240.

The previous prime is 512131082389. The next prime is 512131082401. The reversal of 512131082400 is 4280131215.

512131082400 is a `hidden beast` number, since 51 + 2 + 131 + 0 + 82 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (512131082401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 938302 + ... + 1380098.

It is an arithmetic number, because the mean of its divisors is an integer number (4985248632).

Almost surely, 2^512131082400 is an apocalyptic number.

512131082400 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 512131082400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076813704512).

512131082400 is an abundant number, since it is smaller than the sum of its proper divisors (1641496326624).

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

512131082400 is a wasteful number, since it uses less digits than its factorization.

512131082400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441853 (or 441837 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 512131082400 in words is "five hundred twelve billion, one hundred thirty-one million, eighty-two thousand, four hundred".