527880412800 has 384 divisors, whose sum is σ = 2080507464000. Its totient is φ = 129939517440.

The previous prime is 527880412793. The next prime is 527880412849. The reversal of 527880412800 is 8214088725.

It is a happy number.

527880412800 is a `hidden beast` number, since 527 + 8 + 8 + 0 + 41 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 888211 + ... + 1358189.

Almost surely, 2^527880412800 is an apocalyptic number.

527880412800 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 527880412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040253732000).

527880412800 is an abundant number, since it is smaller than the sum of its proper divisors (1552627051200).

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

527880412800 is a wasteful number, since it uses less digits than its factorization.

527880412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470025 (or 470002 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 527880412800 in words is "five hundred twenty-seven billion, eight hundred eighty million, four hundred twelve thousand, eight hundred".