528270132096 has 768 divisors, whose sum is σ = 1857242764800. Its totient is φ = 147358310400.

The previous prime is 528270132041. The next prime is 528270132107. The reversal of 528270132096 is 690231072825.

528270132096 is a `hidden beast` number, since 52 + 8 + 270 + 1 + 320 + 9 + 6 = 666.

It is a congruent number.

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, 1866678771 + ... + 1866679053.

It is an arithmetic number, because the mean of its divisors is an integer number (2418284850).

Almost surely, 2^528270132096 is an apocalyptic number.

528270132096 is a gapful number since it is divisible by the number (56) 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 528270132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928621382400).

528270132096 is an abundant number, since it is smaller than the sum of its proper divisors (1328972632704).

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

528270132096 is a wasteful number, since it uses less digits than its factorization.

528270132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 528270132096 in words is "five hundred twenty-eight billion, two hundred seventy million, one hundred thirty-two thousand, ninety-six".