527075942400 has 2016 divisors, whose sum is σ = 2395860405120. Its totient is φ = 112113745920.

The previous prime is 527075942399. The next prime is 527075942411. The reversal of 527075942400 is 4249570725.

527075942400 is a `hidden beast` number, since 52 + 7 + 0 + 7 + 594 + 2 + 4 + 0 + 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5922201556 + ... + 5922201644.

It is an arithmetic number, because the mean of its divisors is an integer number (1188422820).

Almost surely, 2^527075942400 is an apocalyptic number.

527075942400 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 527075942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197930202560).

527075942400 is an abundant number, since it is smaller than the sum of its proper divisors (1868784462720).

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

527075942400 is an equidigital number, since it uses as much as digits as its factorization.

527075942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 527075942400 in words is "five hundred twenty-seven billion, seventy-five million, nine hundred forty-two thousand, four hundred".