512990150400 has 3456 divisors, whose sum is σ = 2605933209600. Its totient is φ = 95551488000.

The previous prime is 512990150339. The next prime is 512990150437. The reversal of 512990150400 is 4051099215.

512990150400 is a `hidden beast` number, since 5 + 12 + 9 + 90 + 150 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5079110350 + ... + 5079110450.

It is an arithmetic number, because the mean of its divisors is an integer number (754031600).

Almost surely, 2^512990150400 is an apocalyptic number.

512990150400 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 512990150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302966604800).

512990150400 is an abundant number, since it is smaller than the sum of its proper divisors (2092943059200).

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

512990150400 is a wasteful number, since it uses less digits than its factorization.

512990150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 512990150400 in words is "five hundred twelve billion, nine hundred ninety million, one hundred fifty thousand, four hundred".