512872214400 has 3072 divisors, whose sum is σ = 2486940825600. Its totient is φ = 100329062400.

The previous prime is 512872214329. The next prime is 512872214467. The reversal of 512872214400 is 4412278215.

512872214400 is a `hidden beast` number, since 5 + 1 + 28 + 7 + 221 + 4 + 400 = 666.

512872214400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11927260779 + ... + 11927260821.

It is an arithmetic number, because the mean of its divisors is an integer number (809551050).

Almost surely, 2^512872214400 is an apocalyptic number.

512872214400 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 512872214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243470412800).

512872214400 is an abundant number, since it is smaller than the sum of its proper divisors (1974068611200).

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

512872214400 is a wasteful number, since it uses less digits than its factorization.

512872214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 512872214400 in words is "five hundred twelve billion, eight hundred seventy-two million, two hundred fourteen thousand, four hundred".