527473850904 has 768 divisors, whose sum is σ = 1992941798400. Its totient is φ = 125781258240.

The previous prime is 527473850887. The next prime is 527473850927. The reversal of 527473850904 is 409058374725.

It is a happy number.

527473850904 is a `hidden beast` number, since 5 + 2 + 7 + 473 + 85 + 0 + 90 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 539890864 + ... + 539891840.

It is an arithmetic number, because the mean of its divisors is an integer number (2594976300).

Almost surely, 2^527473850904 is an apocalyptic number.

527473850904 is a gapful number since it is divisible by the number (54) 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 527473850904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996470899200).

527473850904 is an abundant number, since it is smaller than the sum of its proper divisors (1465467947496).

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

527473850904 is a wasteful number, since it uses less digits than its factorization.

527473850904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 527473850904 in words is "five hundred twenty-seven billion, four hundred seventy-three million, eight hundred fifty thousand, nine hundred four".