528986769480 has 768 divisors, whose sum is σ = 2062842163200. Its totient is φ = 116301588480.

The previous prime is 528986769473. The next prime is 528986769527. The reversal of 528986769480 is 84967689825.

528986769480 is a `hidden beast` number, since 5 + 2 + 8 + 9 + 86 + 7 + 69 + 480 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 528986769399 and 528986769408.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145204539 + ... + 145208181.

It is an arithmetic number, because the mean of its divisors is an integer number (2685992400).

Almost surely, 2^528986769480 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 528986769480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031421081600).

528986769480 is an abundant number, since it is smaller than the sum of its proper divisors (1533855393720).

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

528986769480 is a wasteful number, since it uses less digits than its factorization.

528986769480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

It can be divided in two parts, 528986 and 769480, that added together give a triangular number (1298466 = T₁₆₁₁).

The spelling of 528986769480 in words is "five hundred twenty-eight billion, nine hundred eighty-six million, seven hundred sixty-nine thousand, four hundred eighty".