528034999205952 has 672 divisors, whose sum is σ = 1792024499865600. Its totient is φ = 145525659181056.

The previous prime is 528034999205933. The next prime is 528034999206017. The reversal of 528034999205952 is 259502999430825.

528034999205952 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 3 + 4 + 9 + 9 + 9 + 20 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12946138903 + ... + 12946179689.

It is an arithmetic number, because the mean of its divisors is an integer number (2666703124800).

Almost surely, 2^{528034999205952} 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 528034999205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896012249932800).

528034999205952 is an abundant number, since it is smaller than the sum of its proper divisors (1263989500659648).

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

528034999205952 is a wasteful number, since it uses less digits than its factorization.

528034999205952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41783 (or 41770 counting only the distinct ones).

The product of its (nonzero) digits is 629856000, while the sum is 72.

The spelling of 528034999205952 in words is "five hundred twenty-eight trillion, thirty-four billion, nine hundred ninety-nine million, two hundred five thousand, nine hundred fifty-two".