512041994100 has 1728 divisors, whose sum is σ = 2218529005056. Its totient is φ = 99373547520.

The previous prime is 512041994099. The next prime is 512041994129. The reversal of 512041994100 is 1499140215.

It is a happy number.

512041994100 is a `hidden beast` number, since 51 + 2 + 0 + 4 + 199 + 410 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 1992381172 + ... + 1992381428.

It is an arithmetic number, because the mean of its divisors is an integer number (1283870952).

Almost surely, 2^512041994100 is an apocalyptic number.

512041994100 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 512041994100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109264502528).

512041994100 is an abundant number, since it is smaller than the sum of its proper divisors (1706487010956).

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

512041994100 is a wasteful number, since it uses less digits than its factorization.

512041994100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 512041994100 in words is "five hundred twelve billion, forty-one million, nine hundred ninety-four thousand, one hundred".