525896464484160 has 2016 divisors, whose sum is σ = 2417662794718080. Its totient is φ = 103467132518400.

The previous prime is 525896464484117. The next prime is 525896464484173. The reversal of 525896464484160 is 61484464698525.

525896464484160 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 96 + 46 + 4 + 484 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 67275992572 + ... + 67276000388.

It is an arithmetic number, because the mean of its divisors is an integer number (1199237497380).

Almost surely, 2^{525896464484160} 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 525896464484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208831397359040).

525896464484160 is an abundant number, since it is smaller than the sum of its proper divisors (1891766330233920).

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

525896464484160 is a wasteful number, since it uses less digits than its factorization.

525896464484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10165 (or 10145 counting only the distinct ones).

The product of its (nonzero) digits is 1592524800, while the sum is 72.

The spelling of 525896464484160 in words is "five hundred twenty-five trillion, eight hundred ninety-six billion, four hundred sixty-four million, four hundred eighty-four thousand, one hundred sixty".