527978850048 has 1440 divisors, whose sum is σ = 1898688540672. Its totient is φ = 144521625600.

The previous prime is 527978850019. The next prime is 527978850073. The reversal of 527978850048 is 840058879725.

527978850048 is a `hidden beast` number, since 5 + 2 + 7 + 9 + 7 + 88 + 500 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7880281311 + ... + 7880281377.

Almost surely, 2^527978850048 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 527978850048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949344270336).

527978850048 is an abundant number, since it is smaller than the sum of its proper divisors (1370709690624).

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

527978850048 is a wasteful number, since it uses less digits than its factorization.

527978850048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 527978850048 in words is "five hundred twenty-seven billion, nine hundred seventy-eight million, eight hundred fifty thousand, forty-eight".