525904319416320 has 3072 divisors, whose sum is σ = 2195763583104000. Its totient is φ = 119706904166400.

The previous prime is 525904319416313. The next prime is 525904319416327. The reversal of 525904319416320 is 23614913409525.

525904319416320 is a `hidden beast` number, since 5 + 2 + 5 + 90 + 43 + 194 + 1 + 6 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (525904319416313) and next prime (525904319416327).

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (525904319416327) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 292006839420 + ... + 292006841220.

It is an arithmetic number, because the mean of its divisors is an integer number (714766791375).

Almost surely, 2^{525904319416320} 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 525904319416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097881791552000).

525904319416320 is an abundant number, since it is smaller than the sum of its proper divisors (1669859263687680).

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

525904319416320 is a wasteful number, since it uses less digits than its factorization.

525904319416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 525904319416320 in words is "five hundred twenty-five trillion, nine hundred four billion, three hundred nineteen million, four hundred sixteen thousand, three hundred twenty".