529985345950368 has 864 divisors, whose sum is σ = 1939990441648896. Its totient is φ = 134263692288000.

The previous prime is 529985345950337. The next prime is 529985345950387. The reversal of 529985345950368 is 863059543589925.

529985345950368 is a `hidden beast` number, since 5 + 2 + 9 + 9 + 8 + 5 + 3 + 45 + 9 + 503 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62638613658 + ... + 62638622118.

It is an arithmetic number, because the mean of its divisors is an integer number (2245359307464).

Almost surely, 2^{529985345950368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 529985345950368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969995220824448).

529985345950368 is an abundant number, since it is smaller than the sum of its proper divisors (1410005095698528).

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

529985345950368 is a wasteful number, since it uses less digits than its factorization.

529985345950368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14810 (or 14788 counting only the distinct ones).

The product of its (nonzero) digits is 12597120000, while the sum is 81.

The spelling of 529985345950368 in words is "five hundred twenty-nine trillion, nine hundred eighty-five billion, three hundred forty-five million, nine hundred fifty thousand, three hundred sixty-eight".