512353400832 has 432 divisors, whose sum is σ = 1831341067920. Its totient is φ = 135120420864.

The previous prime is 512353400809. The next prime is 512353400833. The reversal of 512353400832 is 238004353215.

512353400832 is a `hidden beast` number, since 5 + 1 + 235 + 340 + 0 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512353400833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21793308 + ... + 21816804.

It is an arithmetic number, because the mean of its divisors is an integer number (4239215435).

Almost surely, 2^512353400832 is an apocalyptic number.

512353400832 is a gapful number since it is divisible by the number (52) 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 512353400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915670533960).

512353400832 is an abundant number, since it is smaller than the sum of its proper divisors (1318987667088).

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

512353400832 is a wasteful number, since it uses less digits than its factorization.

512353400832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23558 (or 23522 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 512353400832 in words is "five hundred twelve billion, three hundred fifty-three million, four hundred thousand, eight hundred thirty-two".