525027048480 has 768 divisors, whose sum is σ = 2075034931200. Its totient is φ = 122879877120.

The previous prime is 525027048463. The next prime is 525027048503. The reversal of 525027048480 is 84840720525.

525027048480 is a `hidden beast` number, since 5 + 25 + 0 + 2 + 70 + 484 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181857597 + ... + 181860483.

It is an arithmetic number, because the mean of its divisors is an integer number (2701868400).

Almost surely, 2^525027048480 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 525027048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037517465600).

525027048480 is an abundant number, since it is smaller than the sum of its proper divisors (1550007882720).

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

525027048480 is a wasteful number, since it uses less digits than its factorization.

525027048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 525027048480 in words is "five hundred twenty-five billion, twenty-seven million, forty-eight thousand, four hundred eighty".