527520470400 has 960 divisors, whose sum is σ = 2427104655360. Its totient is φ = 109610496000.

The previous prime is 527520470383. The next prime is 527520470539. The reversal of 527520470400 is 4074025725.

It is a happy number.

527520470400 is a `hidden beast` number, since 5 + 27 + 520 + 4 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19945185 + ... + 19971615.

It is an arithmetic number, because the mean of its divisors is an integer number (2528234016).

Almost surely, 2^527520470400 is an apocalyptic number.

527520470400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527520470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213552327680).

527520470400 is an abundant number, since it is smaller than the sum of its proper divisors (1899584184960).

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

527520470400 is a wasteful number, since it uses less digits than its factorization.

527520470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26485 (or 26459 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 527520470400 in words is "five hundred twenty-seven billion, five hundred twenty million, four hundred seventy thousand, four hundred".