527432168400 has 240 divisors, whose sum is σ = 1708439414784. Its totient is φ = 139082711040.

The previous prime is 527432168387. The next prime is 527432168423. The reversal of 527432168400 is 4861234725.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47695672 + ... + 47706728.

Almost surely, 2^527432168400 is an apocalyptic number.

527432168400 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 527432168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854219707392).

527432168400 is an abundant number, since it is smaller than the sum of its proper divisors (1181007246384).

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

527432168400 is a wasteful number, since it uses less digits than its factorization.

527432168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11518 (or 11507 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 527432168400 in words is "five hundred twenty-seven billion, four hundred thirty-two million, one hundred sixty-eight thousand, four hundred".