528255536215680 has 4096 divisors, whose sum is σ = 2462451425280000. Its totient is φ = 103922992742400.

The previous prime is 528255536215663. The next prime is 528255536215727. The reversal of 528255536215680 is 86512635552825.

528255536215680 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 5 + 5 + 5 + 3 + 62 + 1 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 544032477595 + ... + 544032478565.

It is an arithmetic number, because the mean of its divisors is an integer number (601184430000).

Almost surely, 2^{528255536215680} 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 528255536215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231225712640000).

528255536215680 is an abundant number, since it is smaller than the sum of its proper divisors (1934195889064320).

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

528255536215680 is a wasteful number, since it uses less digits than its factorization.

528255536215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 172800000, while the sum is 63.

The spelling of 528255536215680 in words is "five hundred twenty-eight trillion, two hundred fifty-five billion, five hundred thirty-six million, two hundred fifteen thousand, six hundred eighty".