528961965840 has 1200 divisors, whose sum is σ = 2344214157120. Its totient is φ = 109311068160.

The previous prime is 528961965821. The next prime is 528961965841. The reversal of 528961965840 is 48569169825.

528961965840 is a `hidden beast` number, since 5 + 2 + 8 + 9 + 619 + 6 + 5 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×528961965840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (528961965841) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 939541399 + ... + 939541961.

Almost surely, 2^528961965840 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 528961965840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172107078560).

528961965840 is an abundant number, since it is smaller than the sum of its proper divisors (1815252191280).

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

528961965840 is a wasteful number, since it uses less digits than its factorization.

528961965840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 528961965840 in words is "five hundred twenty-eight billion, nine hundred sixty-one million, nine hundred sixty-five thousand, eight hundred forty".