525127680 has 624 divisors, whose sum is σ = 2330699904. Its totient is φ = 106168320.

The previous prime is 525127667. The next prime is 525127699. The reversal of 525127680 is 86721525.

It is a happy number.

525127680 is a `hidden beast` number, since 525 + 127 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14192622 + ... + 14192658.

It is an arithmetic number, because the mean of its divisors is an integer number (3735096).

Almost surely, 2^525127680 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 525127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165349952).

525127680 is an abundant number, since it is smaller than the sum of its proper divisors (1805572224).

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

525127680 is a wasteful number, since it uses less digits than its factorization.

525127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 525127680 is about 22915.6645114210. The cubic root of 525127680 is about 806.7797153525.

The spelling of 525127680 in words is "five hundred twenty-five million, one hundred twenty-seven thousand, six hundred eighty".