528107122480 has 240 divisors, whose sum is σ = 1426581192960. Its totient is φ = 178097287680.

The previous prime is 528107122463. The next prime is 528107122493. The reversal of 528107122480 is 84221701825.

It is a super-3 number, since 3×528107122480³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720218487 + ... + 1720218793.

It is an arithmetic number, because the mean of its divisors is an integer number (5944088304).

Almost surely, 2^528107122480 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 528107122480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713290596480).

528107122480 is an abundant number, since it is smaller than the sum of its proper divisors (898474070480).

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

528107122480 is a wasteful number, since it uses less digits than its factorization.

528107122480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 528107122480 in words is "five hundred twenty-eight billion, one hundred seven million, one hundred twenty-two thousand, four hundred eighty".