527763983400 has 384 divisors, whose sum is σ = 1927995350400. Its totient is φ = 132237619200.

The previous prime is 527763983353. The next prime is 527763983449. The reversal of 527763983400 is 4389367725.

527763983400 is a `hidden beast` number, since 527 + 7 + 6 + 39 + 83 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59022930 + ... + 59031870.

It is an arithmetic number, because the mean of its divisors is an integer number (5020821225).

Almost surely, 2^527763983400 is an apocalyptic number.

527763983400 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 527763983400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963997675200).

527763983400 is an abundant number, since it is smaller than the sum of its proper divisors (1400231367000).

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

527763983400 is a wasteful number, since it uses less digits than its factorization.

527763983400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9626 (or 9611 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 527763983400 in words is "five hundred twenty-seven billion, seven hundred sixty-three million, nine hundred eighty-three thousand, four hundred".