527749885938912 has 576 divisors, whose sum is σ = 1795732581888000. Its totient is φ = 134357068984320.

The previous prime is 527749885938701. The next prime is 527749885938983. The reversal of 527749885938912 is 219839588947725.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (87).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8510553987 + ... + 8510615997.

It is an arithmetic number, because the mean of its divisors is an integer number (3117591288000).

Almost surely, 2^{527749885938912} is an apocalyptic number.

527749885938912 is a gapful number since it is divisible by the number (52) 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 527749885938912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897866290944000).

527749885938912 is an abundant number, since it is smaller than the sum of its proper divisors (1267982695949088).

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

527749885938912 is a wasteful number, since it uses less digits than its factorization.

527749885938912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66879 (or 66864 counting only the distinct ones).

The product of its digits is 21946982400, while the sum is 87.

The spelling of 527749885938912 in words is "five hundred twenty-seven trillion, seven hundred forty-nine billion, eight hundred eighty-five million, nine hundred thirty-eight thousand, nine hundred twelve".